Grade 7 Data Handling - Probability, Statistics

Size: px
Start display at page:

Download "Grade 7 Data Handling - Probability, Statistics"

Transcription

1 ID : ae-7-data-handling-probability-statistics [1] Grade 7 Data Handling - Probability, Statistics For more such worksheets visit Answer t he quest ions (1) What is the average of the 11 consecutive integers starting at 17? (2) A group of students f rom a Spanish college were selected f or a study. The color of the eyes of the students were noted as Color of Eyes Number of Students grey 4 black 11 green 8 brown 4 blue 8 What is the probability that the color of a student eye's chosen at random starts with the letter b? (3) What is the average of all possible f ive-digit numbers that can be f ormed by using each of the digits 2, 5, 8, 9, and 1 exactly once? (4) Following f igure shows f ruits in a basket at Gamal's house. Gamal is getting late f or school, and just picks a f ruit f rom the basket without looking at it. Which f ruit is most likely to be picked? (5) A ship docks at the port on 5 dif f erent days at 5:15 AM, 5:00 AM, 10:45 AM, 4:30 AM and 6:45 AM. What is the average time it docks? Choose correct answer(s) f rom given choice (6) In an of f ice, the age of the employees was as f ollows 37, 50, 35, 53, 25, 43, 36, 45, 44, 49, 38, 37 What is the average of their ages? a. 42 b. 38 c. 45 d. 41

2 (7) Amala tosses a die twice. What is the probability that the sum of the values obtained in the throws is 6? ID : ae-7-data-handling-probability-statistics [2] a b c d (8) The f ollowing table shows prof its of 5 companies in a business group last year. Company Profit Company 1 Dhs 500,000 Company 2 Dhs 250,000 Company 3 Dhs 450,000 Company 4 Dhs 500,000 Company 5 Dhs 250,000 What is the average prof it of the business group? a. Dhs b. Dhs c. Dhs d. Dhs (9) There are 9 black balls, 11 green balls, and 10 orange balls in a bag. What is the probability of picking up one green ball out of the bag without looking? a c b d (10) There are 40 employees in a company, who works in three shif ts. The f irst group of 7 employees work f rom 9:00 AM to 12 noon. The second group of 19 employees work f rom 10:00 AM to 2:00 PM. And third group of 14 employees work f rom 12 noon to 2:00 PM. If there are only 9 computers, during what time, computers are likely to be used most? a. 12 noon to 2:00 PM b. 10:00 AM to 12 noon c. 10:00 AM to 2:00 PM d. 9:00 AM to 12 noon (11) From a deck of cards, Carna withdraw a card at random. What is the probability that the number on the card is a prime number? a. c b d

3 (12) A class has 22 students, 8 out of whom are girls. If a teacher picks a student at random, what is the probability that the student picked is a boy? ID : ae-7-data-handling-probability-statistics [3] a b c d Fill in the blanks (13) While doing the science experiment in the physics lab, Karim had to take 7 measurements of the temperature and write the average of those as an answer. If the measurements of the temperature is 2, 0, 1, -2, 2, 1, -2, the f inal answer of his experiment is. (14) The f ollowing are the marks obtained by 33 students in German. Marks T ally Marks Number of students The median of their score is (15) Coman is part of the school cricket team, and this year he has scored an average of 55 runs. He has played 6 innings so f ar, and his scores in 5 of them are 65, 45, 53, 58, 54 His score in the last innings is 2016 Edugain ( All Rights Reserved Many more such worksheets can be generated at

4 Answers ID : ae-7-data-handling-probability-statistics [4] (1) 22 If you look at the question caref ully, you will notice that the 11 consecutive integers starting at 17 = 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27 Sum of 11 consecutive integers = = 242 Average of 11 consecutive integers starting at 17 = Sum of 11 consecutive integers T otal number of consecutive integers = = 22 Now the average of 11 consecutive integers at 17 is 22.

5 (2) 23 ID : ae-7-data-handling-probability-statistics [5] 35 If you look at the question caref ully, you will notice that the color of the eyes of the students were noted down as below Color of Eyes Number of Students grey 4 black 11 green 8 brown 4 blue 8 Total number of students = 35 Number of students whose eye's color starts with letter b = (blue + brown + black) = 23 Probability that the color of a student eye's chosen at random starts with the letter b = Number of students whose eye's color starts with letter b T otal number of students = Now, probability that the color of a student eye's chosen at random starts with the letter b is

6 (3) ID : ae-7-data-handling-probability-statistics [6] On creating dif f erent possible f ive-digit numbers, each of the digits 2, 5, 8, 9, and 1 will occur the same number of times at each decimal place. Theref ore the sum of all one's digits of numbers will be the same as the sum of all ten's digits of numbers. This way, the sum of digits of all numbers will be the same at all decimal places. Theref ore the average of the f ace value at each decimal place will be: ( )/5 = 5 Step 4 Now we know that the averages of f ace values of each decimal place are all equal to 5. The average of the numbers f ormed by such digits will be equal to: ( ) (average of f ace value) = = (4) Apple Probability = Number of f avorable outcomes Number of possible equally-likely outcomes Since there are 9 f ruits in the basket, in which 4 are apples. Theref ore the probability of an apple picked f rom the basket = Number of apple in the basket Total number of f ruits in the basket = 4 9 If you look at the basket caref ully, you will notice that the number of apples in a basket are more as compare to other f ruits. Theref ore the probability of picked an apple f rom the basket is more as compare to other f ruits and hence we can say that the most likely f ruit to be picked f rom the basket is apple.

7 (5) 6:27 AM ID : ae-7-data-handling-probability-statistics [7] Since all the times are in AM, we can just add the hours in minutes f orm and f ind out the average We take a time as the minutes past midnight So 5:15 AM = 5 x = 315 5:00 AM = 5 x = :45 AM = 10 x = 645 4:30 AM = 4 x = 270 6:45 AM = 6 x = 405 To f ind the average = = 387 To convert it back to the hh:mm f ormat we divide by 60. The quotient is the hours, and the remainder is the minutes 387 = 6R27 60 Average time of docking = 6:27 AM (6) d. 41 If you look at the question caref ully, you will notice that the age of the employees was as f ollows 37, 50, 35, 53, 25, 43, 36, 45, 44, 49, 38, 37 Sum of age of the employees = = 492 Total number of employees = 12 Average age of the employees = Sum of age of the employees T otal number of employees = = 41 Now the average age of the employees is 41.

8 (7) a ID : ae-7-data-handling-probability-statistics [8] Let's assume S, E and P are the Sample Space, Event and Probability of getting the sum of the values obtained in the throws is 6 by tossing a die twice respectively. S = { (1,1),(1,2),(1,3),(1,4),(1,5),(1,6), (2,1),(2,2),(2,3),(2,4),(2,5),(2,6), (3,1),(3,2),(3,3),(3,4),(3,5),(3,6), (4,1),(4,2),(4,3),(4,4),(4,5),(4,6), (5,1),(5,2),(5,3),(5,4),(5,5),(5,6), (6,1),(6,2),(6,3),(6,4),(6,5),(6,6) } E = {(1,5),(2,4),(3,3),(4,2),(5,1)} P(E) = n(e) n(s) (Since P(E) is the probability of getting event E, n(e) is the number of elements in the event E and n(s) is the number of elements in the sample space S ) P(E) = 5 36 Now, the probability that the sum of the values obtained in the throws is 6 by tossing a die 5 twice is 36

9 (8) c. Dhs ID : ae-7-data-handling-probability-statistics [9] If you look at the question caref ully, you will notice that the table below shows prof its of 5 companies in a business group last year. Company Profit Company 1 Dhs 500,000 Company 2 Dhs 250,000 Company 3 Dhs 450,000 Company 4 Dhs 500,000 Company 5 Dhs 250,000 Total prof its made by the business group = Dhs 500,000 + Dhs 250,000 + Dhs 450,000 + Dhs 500,000 + Dhs 250,000 = Dhs Average prof it of the business group = Total prof its made by the business group Number of companies in a group = = Now the average prof it of the business group is Dhs

10 (9) c ID : ae-7-data-handling-probability-statistics [10] If you look at the question caref ully, you will notice that there are the f ollowing color balls in the bag Color Number of balls black 9 green 11 orange 10 Total number of balls = = 30 Probability of picking up one green ball = Number of green ball Total number of balls = Now, the probability of picking up one green ball out of the bag without looking is (10) a. 12 noon to 2:00 PM According to question the number of employees work f rom 9:00 AM to 12 noon is = 7 employees and the number of employees work f rom 10:00 AM to 2:00 PM is = 19 employees Theref ore the number of employees work f rom 10:00 AM to 12 noon is = = 26 employees The number of employees work f rom 12 noon to 2:00 PM is = 14 employees Computers are likely to be used most in that time, in which most number of employees are worked. From 12 noon to 2:00 PM most number of employees are worked and hence the computers are likely to be used most f rom 12 noon to 2:00 PM.

11 (11) d ID : ae-7-data-handling-probability-statistics [11] If you look at the question caref ully, you will notice that Carna withdraw a card at random f rom a deck of cards. Total number of cards in a deck = 52 cards Prime number cards in a deck of card = {(2, 3, 5, 7) = Clubs, (2, 3, 5, 7) = Diamonds, (2, 3, 5, 7) = Hearts, (2, 3, 5, 7) = Spades } Total prime number cards = 16 Probability that the number on the card is a prime number = Total prime cards in a deck Total number of cards in a deck = Now the probability that the number on the card is a prime number = (12) c If you look at the question caref ully, you will notice that the Total number of students = 22 Number of girls = 8 Number of boys = (22-8) = 14 Total number of boys Probability that the student picked is a boy = T otal number of students = Now, the probability that the student picked a boy is

12 (13) 0.28 ID : ae-7-data-handling-probability-statistics [12] If you look at the question caref ully, you will notice that Karim had to take 7 measurements of the temperature and write the average of those as an answer. Since the measurements of the temperature is 2, 0, 1, -2, 2, 1, -2, theref ore the f inal answer of his experiment = average of 2, 0, 1, -2, 2, 1, -2, Sum of 2, 0, 1, -2, 2, 1, -2, = Number of measurements of the temperature = 2 7 = 0.28

13 (14) 6 ID : ae-7-data-handling-probability-statistics [13] Marks T ally Marks Number of students If you look at the given table f rom top to bottom caref ully, you will notice that the marks obtained by 33 students in German are arranged in ascending order. Median is the middle marks in a sorted list. Total number of students are 33 which is odd. (n + 1) So, Median = ( ) th 2 (where n is the number of students) =( ) th 2 = ( 34 ) th 2 = 17 th If you count the number of students in tally marks column of the given table, you will notice that the marks obtained by 17 th student is 6, theref ore Median = 6 Now the median of their scores is 6.

14 (15) 55 ID : ae-7-data-handling-probability-statistics [14] If you look at the question caref ully, you will notice that Coman has scored an average of 55 runs in 6 innings. Let Coman score in the last inning = x His scores in 5 innings out of 6 innings = 65, 45, 53, 58, 54 Average score = Total score in 6 innings total innings 55 = x 6 55 = x = x 330 = x x = 330 x = x = 55 Theref ore Coman score in the last inning is 55.

Grade 8 Square and Square Roots

Grade 8 Square and Square Roots ID : ae-8-square-and-square-roots [1] Grade 8 Square and Square Roots For more such worksheets visit www.edugain.com Answer t he quest ions (1) The total population of a village is a perf ect square. The

More information

Class 10 Probability. Answer t he quest ions. For more such worksheets visit

Class 10 Probability. Answer t he quest ions. For more such worksheets visit ID : in-0-probability [] Class 0 Probability For more such worksheets visit www.edugain.com Answer t he quest ions () Rajesh is participating in a race. The probability that he will come f irst in the

More information

Class 5 Logical Reasoning

Class 5 Logical Reasoning ID : in-5-logical-reasoning [] Class 5 Logical Reasoning For more such worksheets visit www.edugain.com Answer t he quest ions () Round each number to nearest tens and f ind the product. 93 77 67 (2) Joel

More information

Grade 4 Large Numbers

Grade 4 Large Numbers ID : ae-4-large-numbers [1] Grade 4 Large Numbers For more such worksheets visit www.edugain.com Answer t he quest ions (1) The crop yield f or the year 2008 was 70644 kg and the crop yield f or 2009 was

More information

Grade 10 Mean, Mode and Median

Grade 10 Mean, Mode and Median ID : ww-10-mean-mode-and-median [1] Grade 10 Mean, Mode and Median For more such worksheets visit www.edugain.com Answer t he quest ions (1) What is the probability that a leap year will contain 53 Wednesdays?

More information

(1) A lighthouse has two lights one that f lashes every 2 minutes, and another that f lashes every 1

(1) A lighthouse has two lights one that f lashes every 2 minutes, and another that f lashes every 1 ID : sg-6-lcm-and-hcf [1] Grade 6 LCM and HCF For more such worksheets visit www.edugain.com Answer t he quest ions (1) A lighthouse has two lights one that f lashes every 2 minutes, and another that f

More information

(7) The lowest natural number which when divided by 16, 24, 20 leaves the remainder of 4 in each case is a. 247 b. 244 c. 243 d.

(7) The lowest natural number which when divided by 16, 24, 20 leaves the remainder of 4 in each case is a. 247 b. 244 c. 243 d. ID : ae-6-lcm-and-hcf [1] Grade 6 LCM and HCF For more such worksheets visit www.edugain.com Answer t he quest ions (1) Farah and Hadil are f riends and cricket coach too. Farah goes to Lotus Valley school

More information

Grade 5 Large Numbers

Grade 5 Large Numbers ID : jp-5-large-numbers [1] Grade 5 Large Numbers For more such worksheets visit www.edugain.com Answer t he quest ions (1) What number is represented as 6000000 + 200000 + 30000 + 8000 + 800 + 40 + 6

More information

Grade 6 LCM and HCF. Answer t he quest ions. Choose correct answer(s) f rom given choice. For more such worksheets visit

Grade 6 LCM and HCF. Answer t he quest ions. Choose correct answer(s) f rom given choice. For more such worksheets visit ID : gb-6-lcm-and-hcf [1] Grade 6 LCM and HCF For more such worksheets visit www.edugain.com Answer t he quest ions (1) Ingravio-Tage is a comet that orbits around the sun once in 56 years, and Sunerva-Primo

More information

Class 6 Natural and Whole Numbers

Class 6 Natural and Whole Numbers ID : in-6-natural-and-whole-numbers [1] Class 6 Natural and Whole Numbers For more such worksheets visit www.edugain.com Answer t he quest ions (1) A rectangular courtyard with length 3 m 95 cm and breadth

More information

Grade 5 First Quarter in School

Grade 5 First Quarter in School ID : ae-5-first-quarter-in-school [1] Grade 5 First Quarter in School For more such worksheets visit www.edugain.com Answer t he quest ions (1) Which number when subtracted f rom 12502601 gives 3753793?

More information

Grade 6 Natural and Whole Numbers

Grade 6 Natural and Whole Numbers ID : ww-6-natural-and-whole-numbers [1] Grade 6 Natural and Whole Numbers For more such worksheets visit www.edugain.com Answer t he quest ions (1) Two brands of chocolates are available in packs of 72

More information

STANDARD COMPETENCY : 1. To use the statistics rules, the rules of counting, and the characteristic of probability in problem solving.

STANDARD COMPETENCY : 1. To use the statistics rules, the rules of counting, and the characteristic of probability in problem solving. Worksheet 4 th Topic : PROBABILITY TIME : 4 X 45 minutes STANDARD COMPETENCY : 1. To use the statistics rules, the rules of counting, and the characteristic of probability in problem solving. BASIC COMPETENCY:

More information

Grade 10 Mean, Mode and Median

Grade 10 Mean, Mode and Median ID : ae-10-mean-mode-and-median [1] Grade 10 Mean, Mode and Median For more such worksheets visit www.edugain.com Answer the questions (1) A poll is taken among 10000 people working in a town. The aim

More information

Grade 10 Trigonometry

Grade 10 Trigonometry ID : ww-10-trigonometry [1] Grade 10 Trigonometry For more such worksheets visit www.edugain.com Answer t he quest ions (1) If - 0, f ind value of sin 4 θ - cos 4 θ. (2) Simplif y 3(sin 4 θ cos 4 θ) -

More information

PROBABILITY Case of cards

PROBABILITY Case of cards WORKSHEET NO--1 PROBABILITY Case of cards WORKSHEET NO--2 Case of two die Case of coins WORKSHEET NO--3 1) Fill in the blanks: A. The probability of an impossible event is B. The probability of a sure

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Study Guide for Test III (MATH 1630) Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the number of subsets of the set. 1) {x x is an even

More information

CS 3233 Discrete Mathematical Structure Midterm 2 Exam Solution Tuesday, April 17, :30 1:45 pm. Last Name: First Name: Student ID:

CS 3233 Discrete Mathematical Structure Midterm 2 Exam Solution Tuesday, April 17, :30 1:45 pm. Last Name: First Name: Student ID: CS Discrete Mathematical Structure Midterm Exam Solution Tuesday, April 17, 007 1:0 1:4 pm Last Name: First Name: Student ID: Problem No. Points Score 1 10 10 10 4 1 10 6 10 7 1 Total 80 1 This is a closed

More information

Class 8 Cubes and Cube Root

Class 8 Cubes and Cube Root ID : in-8-cubes-and-cube-root [1] Class 8 Cubes and Cube Root For more such worksheets visit www.edugain.com Answer the questions (1) Find the value of A if (2) If you subtract a number x from 15 times

More information

Grade 10 Trigonometry

Grade 10 Trigonometry ID : pk-0-trigonometry [] Grade 0 Trigonometry For more such worksheets visit www.edugain.com Answer t he quest ions () Simplif y - 2 sin 3 θ - 2 cos 3 θ (2) If secθ tan θ y, simplif y in terms of θ. (3)

More information

Class 6 Natural and Whole Numbers

Class 6 Natural and Whole Numbers ID : in-6-natural-and-whole-numbers [1] Class 6 Natural and Whole Numbers For more such worksheets visit www.edugain.com Answer the questions (1) Find the largest 3-digit number which is exactly divisible

More information

PROBABILITY. 1. Introduction. Candidates should able to:

PROBABILITY. 1. Introduction. Candidates should able to: PROBABILITY Candidates should able to: evaluate probabilities in simple cases by means of enumeration of equiprobable elementary events (e.g for the total score when two fair dice are thrown), or by calculation

More information

Page 1 of 22. Website: Mobile:

Page 1 of 22. Website:    Mobile: Exercise 15.1 Question 1: Complete the following statements: (i) Probability of an event E + Probability of the event not E =. (ii) The probability of an event that cannot happen is. Such as event is called.

More information

Probability. Probabilty Impossibe Unlikely Equally Likely Likely Certain

Probability. Probabilty Impossibe Unlikely Equally Likely Likely Certain PROBABILITY Probability The likelihood or chance of an event occurring If an event is IMPOSSIBLE its probability is ZERO If an event is CERTAIN its probability is ONE So all probabilities lie between 0

More information

Probability is the likelihood that an event will occur.

Probability is the likelihood that an event will occur. Section 3.1 Basic Concepts of is the likelihood that an event will occur. In Chapters 3 and 4, we will discuss basic concepts of probability and find the probability of a given event occurring. Our main

More information

Whatcom County Math Championship 2017 Probability + Statistics 4 th Grade

Whatcom County Math Championship 2017 Probability + Statistics 4 th Grade Probability + Statistics 4 th Grade 1. nya has two spinners, with each space the same area. If she adds the result of both spinners, what is the probability that her answer will be even? Write the answer

More information

Fdaytalk.com. Outcomes is probable results related to an experiment

Fdaytalk.com. Outcomes is probable results related to an experiment EXPERIMENT: Experiment is Definite/Countable probable results Example: Tossing a coin Throwing a dice OUTCOMES: Outcomes is probable results related to an experiment Example: H, T Coin 1, 2, 3, 4, 5, 6

More information

Classical vs. Empirical Probability Activity

Classical vs. Empirical Probability Activity Name: Date: Hour : Classical vs. Empirical Probability Activity (100 Formative Points) For this activity, you will be taking part in 5 different probability experiments: Rolling dice, drawing cards, drawing

More information

LC OL Probability. ARNMaths.weebly.com. As part of Leaving Certificate Ordinary Level Math you should be able to complete the following.

LC OL Probability. ARNMaths.weebly.com. As part of Leaving Certificate Ordinary Level Math you should be able to complete the following. A Ryan LC OL Probability ARNMaths.weebly.com Learning Outcomes As part of Leaving Certificate Ordinary Level Math you should be able to complete the following. Counting List outcomes of an experiment Apply

More information

Name: Probability, Part 1 March 4, 2013

Name: Probability, Part 1 March 4, 2013 1) Assuming all sections are equal in size, what is the probability of the spinner below stopping on a blue section? Write the probability as a fraction. 2) A bag contains 3 red marbles, 4 blue marbles,

More information

I. WHAT IS PROBABILITY?

I. WHAT IS PROBABILITY? C HAPTER 3 PROAILITY Random Experiments I. WHAT IS PROAILITY? The weatherman on 10 o clock news program states that there is a 20% chance that it will snow tomorrow, a 65% chance that it will rain and

More information

Grade 6 Natural and Whole Numbers

Grade 6 Natural and Whole Numbers ID : ae-6-natural-and-whole-numbers [1] Grade 6 Natural and Whole Numbers For more such worksheets visit www.edugain.com Answer the questions (1) Find the successor of the given number: 4614143 (2) If

More information

Part 1: I can express probability as a fraction, decimal, and percent

Part 1: I can express probability as a fraction, decimal, and percent Name: Pattern: Part 1: I can express probability as a fraction, decimal, and percent For #1 to #4, state the probability of each outcome. Write each answer as a) a fraction b) a decimal c) a percent Example:

More information

7.1 Experiments, Sample Spaces, and Events

7.1 Experiments, Sample Spaces, and Events 7.1 Experiments, Sample Spaces, and Events An experiment is an activity that has observable results. Examples: Tossing a coin, rolling dice, picking marbles out of a jar, etc. The result of an experiment

More information

Chapter-wise questions. Probability. 1. Two coins are tossed simultaneously. Find the probability of getting exactly one tail.

Chapter-wise questions. Probability. 1. Two coins are tossed simultaneously. Find the probability of getting exactly one tail. Probability 1. Two coins are tossed simultaneously. Find the probability of getting exactly one tail. 2. 26 cards marked with English letters A to Z (one letter on each card) are shuffled well. If one

More information

Multiples and Divisibility

Multiples and Divisibility Multiples and Divisibility A multiple of a number is a product of that number and an integer. Divisibility: A number b is said to be divisible by another number a if b is a multiple of a. 45 is divisible

More information

The point value of each problem is in the left-hand margin. You must show your work to receive any credit, except on problems 1 & 2. Work neatly.

The point value of each problem is in the left-hand margin. You must show your work to receive any credit, except on problems 1 & 2. Work neatly. Introduction to Statistics Math 1040 Sample Exam II Chapters 5-7 4 Problem Pages 4 Formula/Table Pages Time Limit: 90 Minutes 1 No Scratch Paper Calculator Allowed: Scientific Name: The point value of

More information

Contemporary Mathematics Math 1030 Sample Exam I Chapters Time Limit: 90 Minutes No Scratch Paper Calculator Allowed: Scientific

Contemporary Mathematics Math 1030 Sample Exam I Chapters Time Limit: 90 Minutes No Scratch Paper Calculator Allowed: Scientific Contemporary Mathematics Math 1030 Sample Exam I Chapters 13-15 Time Limit: 90 Minutes No Scratch Paper Calculator Allowed: Scientific Name: The point value of each problem is in the left-hand margin.

More information

Review. Natural Numbers: Whole Numbers: Integers: Rational Numbers: Outline Sec Comparing Rational Numbers

Review. Natural Numbers: Whole Numbers: Integers: Rational Numbers: Outline Sec Comparing Rational Numbers FOUNDATIONS Outline Sec. 3-1 Gallo Name: Date: Review Natural Numbers: Whole Numbers: Integers: Rational Numbers: Comparing Rational Numbers Fractions: A way of representing a division of a whole into

More information

Section 7.3 and 7.4 Probability of Independent Events

Section 7.3 and 7.4 Probability of Independent Events Section 7.3 and 7.4 Probability of Independent Events Grade 7 Review Two or more events are independent when one event does not affect the outcome of the other event(s). For example, flipping a coin and

More information

4.1 Sample Spaces and Events

4.1 Sample Spaces and Events 4.1 Sample Spaces and Events An experiment is an activity that has observable results. Examples: Tossing a coin, rolling dice, picking marbles out of a jar, etc. The result of an experiment is called an

More information

COUNTING AND PROBABILITY

COUNTING AND PROBABILITY CHAPTER 9 COUNTING AND PROBABILITY It s as easy as 1 2 3. That s the saying. And in certain ways, counting is easy. But other aspects of counting aren t so simple. Have you ever agreed to meet a friend

More information

COMPOUND EVENTS. Judo Math Inc.

COMPOUND EVENTS. Judo Math Inc. COMPOUND EVENTS Judo Math Inc. 7 th grade Statistics Discipline: Black Belt Training Order of Mastery: Compound Events 1. What are compound events? 2. Using organized Lists (7SP8) 3. Using tables (7SP8)

More information

Topic : ADDITION OF PROBABILITIES (MUTUALLY EXCLUSIVE EVENTS) TIME : 4 X 45 minutes

Topic : ADDITION OF PROBABILITIES (MUTUALLY EXCLUSIVE EVENTS) TIME : 4 X 45 minutes Worksheet 6 th Topic : ADDITION OF PROBABILITIES (MUTUALLY EXCLUSIVE EVENTS) TIME : 4 X 45 minutes STANDARD COMPETENCY : 1. To use the statistics rules, the rules of counting, and the characteristic of

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Practice for Final Exam Name Identify the following variable as either qualitative or quantitative and explain why. 1) The number of people on a jury A) Qualitative because it is not a measurement or a

More information

March 5, What is the area (in square units) of the region in the first quadrant defined by 18 x + y 20?

March 5, What is the area (in square units) of the region in the first quadrant defined by 18 x + y 20? March 5, 007 1. We randomly select 4 prime numbers without replacement from the first 10 prime numbers. What is the probability that the sum of the four selected numbers is odd? (A) 0.1 (B) 0.30 (C) 0.36

More information

Before giving a formal definition of probability, we explain some terms related to probability.

Before giving a formal definition of probability, we explain some terms related to probability. probability 22 INTRODUCTION In our day-to-day life, we come across statements such as: (i) It may rain today. (ii) Probably Rajesh will top his class. (iii) I doubt she will pass the test. (iv) It is unlikely

More information

1. Let X be a continuous random variable such that its density function is 8 < k(x 2 +1), 0 <x<1 f(x) = 0, elsewhere.

1. Let X be a continuous random variable such that its density function is 8 < k(x 2 +1), 0 <x<1 f(x) = 0, elsewhere. Lebanese American University Spring 2006 Byblos Date: 3/03/2006 Duration: h 20. Let X be a continuous random variable such that its density function is 8 < k(x 2 +), 0

More information

Fair Game Review. Chapter 9. Simplify the fraction

Fair Game Review. Chapter 9. Simplify the fraction Name Date Chapter 9 Simplify the fraction. 1. 10 12 Fair Game Review 2. 36 72 3. 14 28 4. 18 26 5. 32 48 6. 65 91 7. There are 90 students involved in the mentoring program. Of these students, 60 are girls.

More information

Grade 8 Math Assignment: Probability

Grade 8 Math Assignment: Probability Grade 8 Math Assignment: Probability Part 1: Rock, Paper, Scissors - The Study of Chance Purpose An introduction of the basic information on probability and statistics Materials: Two sets of hands Paper

More information

Class 10 Trigonometry

Class 10 Trigonometry ID : in-10-trigonometry [1] Class 10 Trigonometry For more such worksheets visit www.edugain.com Answer t he quest ions (1) An equilateral triangle width side of length 18 3 cm is inscribed in a circle.

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Statistics Homework Ch 5 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) A coin is tossed. Find the probability

More information

8.2 Union, Intersection, and Complement of Events; Odds

8.2 Union, Intersection, and Complement of Events; Odds 8.2 Union, Intersection, and Complement of Events; Odds Since we defined an event as a subset of a sample space it is natural to consider set operations like union, intersection or complement in the context

More information

Diamond ( ) (Black coloured) (Black coloured) (Red coloured) ILLUSTRATIVE EXAMPLES

Diamond ( ) (Black coloured) (Black coloured) (Red coloured) ILLUSTRATIVE EXAMPLES CHAPTER 15 PROBABILITY Points to Remember : 1. In the experimental approach to probability, we find the probability of the occurence of an event by actually performing the experiment a number of times

More information

Worksheets for GCSE Mathematics. Probability. mr-mathematics.com Maths Resources for Teachers. Handling Data

Worksheets for GCSE Mathematics. Probability. mr-mathematics.com Maths Resources for Teachers. Handling Data Worksheets for GCSE Mathematics Probability mr-mathematics.com Maths Resources for Teachers Handling Data Probability Worksheets Contents Differentiated Independent Learning Worksheets Probability Scales

More information

HIGH SCHOOL MATHEMATICS CONTEST Sponsored by THE MATHEMATICS DEPARTMENT of WESTERN CAROLINA UNIVERSITY. LEVEL I TEST March 23, 2017

HIGH SCHOOL MATHEMATICS CONTEST Sponsored by THE MATHEMATICS DEPARTMENT of WESTERN CAROLINA UNIVERSITY. LEVEL I TEST March 23, 2017 HIGH SCHOOL MATHEMATICS CONTEST Sponsored by THE MATHEMATICS DEPARTMENT of WESTERN CAROLINA UNIVERSITY LEVEL I TEST March 23, 2017 Prepared by: John Wagaman, Chairperson Nathan Borchelt DIRECTIONS: Do

More information

Acing Math (One Deck At A Time!): A Collection of Math Games. Table of Contents

Acing Math (One Deck At A Time!): A Collection of Math Games. Table of Contents Table of Contents Introduction to Acing Math page 5 Card Sort (Grades K - 3) page 8 Greater or Less Than (Grades K - 3) page 9 Number Battle (Grades K - 3) page 10 Place Value Number Battle (Grades 1-6)

More information

Probability. Ms. Weinstein Probability & Statistics

Probability. Ms. Weinstein Probability & Statistics Probability Ms. Weinstein Probability & Statistics Definitions Sample Space The sample space, S, of a random phenomenon is the set of all possible outcomes. Event An event is a set of outcomes of a random

More information

Lesson 3 Dependent and Independent Events

Lesson 3 Dependent and Independent Events Lesson 3 Dependent and Independent Events When working with 2 separate events, we must first consider if the first event affects the second event. Situation 1 Situation 2 Drawing two cards from a deck

More information

Name: Class: Date: 6. An event occurs, on average, every 6 out of 17 times during a simulation. The experimental probability of this event is 11

Name: Class: Date: 6. An event occurs, on average, every 6 out of 17 times during a simulation. The experimental probability of this event is 11 Class: Date: Sample Mastery # Multiple Choice Identify the choice that best completes the statement or answers the question.. One repetition of an experiment is known as a(n) random variable expected value

More information

Q1) 6 boys and 6 girls are seated in a row. What is the probability that all the 6 gurls are together.

Q1) 6 boys and 6 girls are seated in a row. What is the probability that all the 6 gurls are together. Required Probability = where Q1) 6 boys and 6 girls are seated in a row. What is the probability that all the 6 gurls are together. Solution: As girls are always together so they are considered as a group.

More information

Unit 9: Probability Assignments

Unit 9: Probability Assignments Unit 9: Probability Assignments #1: Basic Probability In each of exercises 1 & 2, find the probability that the spinner shown would land on (a) red, (b) yellow, (c) blue. 1. 2. Y B B Y B R Y Y B R 3. Suppose

More information

Probability. Chapter-13

Probability. Chapter-13 Chapter-3 Probability The definition of probability was given b Pierre Simon Laplace in 795 J.Cardan, an Italian physician and mathematician wrote the first book on probability named the book of games

More information

Name: Section: Date:

Name: Section: Date: WORKSHEET 5: PROBABILITY Name: Section: Date: Answer the following problems and show computations on the blank spaces provided. 1. In a class there are 14 boys and 16 girls. What is the probability of

More information

Functional Skills Mathematics

Functional Skills Mathematics Functional Skills Mathematics Level Learning Resource Probability D/L. Contents Independent Events D/L. Page - Combined Events D/L. Page - 9 West Nottinghamshire College D/L. Information Independent Events

More information

Developed by Rashmi Kathuria. She can be reached at

Developed by Rashmi Kathuria. She can be reached at Developed by Rashmi Kathuria. She can be reached at . Photocopiable Activity 1: Step by step Topic Nature of task Content coverage Learning objectives Task Duration Arithmetic

More information

CSC/MTH 231 Discrete Structures II Spring, Homework 5

CSC/MTH 231 Discrete Structures II Spring, Homework 5 CSC/MTH 231 Discrete Structures II Spring, 2010 Homework 5 Name 1. A six sided die D (with sides numbered 1, 2, 3, 4, 5, 6) is thrown once. a. What is the probability that a 3 is thrown? b. What is the

More information

Activity 1: Play comparison games involving fractions, decimals and/or integers.

Activity 1: Play comparison games involving fractions, decimals and/or integers. Students will be able to: Lesson Fractions, Decimals, Percents and Integers. Play comparison games involving fractions, decimals and/or integers,. Complete percent increase and decrease problems, and.

More information

b) Find the exact probability of seeing both heads and tails in three tosses of a fair coin. (Theoretical Probability)

b) Find the exact probability of seeing both heads and tails in three tosses of a fair coin. (Theoretical Probability) Math 1351 Activity 2(Chapter 11)(Due by EOC Mar. 26) Group # 1. A fair coin is tossed three times, and we would like to know the probability of getting both a heads and tails to occur. Here are the results

More information

Revision 6: Similar Triangles and Probability

Revision 6: Similar Triangles and Probability Revision 6: Similar Triangles and Probability Name: lass: ate: Mark / 52 % 1) Find the missing length, x, in triangle below 5 cm 6 cm 15 cm 21 cm F 2) Find the missing length, x, in triangle F below 5

More information

ECON 214 Elements of Statistics for Economists

ECON 214 Elements of Statistics for Economists ECON 214 Elements of Statistics for Economists Session 4 Probability Lecturer: Dr. Bernardin Senadza, Dept. of Economics Contact Information: bsenadza@ug.edu.gh College of Education School of Continuing

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) 1 6

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) 1 6 Math 300 Exam 4 Review (Chapter 11) Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Give the probability that the spinner shown would land on

More information

RANDOM EXPERIMENTS AND EVENTS

RANDOM EXPERIMENTS AND EVENTS Random Experiments and Events 18 RANDOM EXPERIMENTS AND EVENTS In day-to-day life we see that before commencement of a cricket match two captains go for a toss. Tossing of a coin is an activity and getting

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Mathematical Ideas Chapter 2 Review Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. ) In one town, 2% of all voters are Democrats. If two voters

More information

A magician showed a magic trick where he picked one card from a standard deck. Determine What is the probability that the card will be a queen card?

A magician showed a magic trick where he picked one card from a standard deck. Determine What is the probability that the card will be a queen card? Topic : Probability Word Problems- Worksheet 1 What is the probability? 1. 2. 3. 4. Jill is playing cards with her friend when she draws a card from a pack of 20 cards numbered from 1 to 20. What is the

More information

Date. Probability. Chapter

Date. Probability. Chapter Date Probability Contests, lotteries, and games offer the chance to win just about anything. You can win a cup of coffee. Even better, you can win cars, houses, vacations, or millions of dollars. Games

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 6. Practice Problems Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the probability. ) A bag contains red marbles, blue marbles, and 8

More information

Probability Essential Math 12 Mr. Morin

Probability Essential Math 12 Mr. Morin Probability Essential Math 12 Mr. Morin Name: Slot: Introduction Probability and Odds Single Event Probability and Odds Two and Multiple Event Experimental and Theoretical Probability Expected Value (Expected

More information

Math Exam 2 Review. NOTE: For reviews of the other sections on Exam 2, refer to the first page of WIR #4 and #5.

Math Exam 2 Review. NOTE: For reviews of the other sections on Exam 2, refer to the first page of WIR #4 and #5. Math 166 Spring 2007 c Heather Ramsey Page 1 Math 166 - Exam 2 Review NOTE: For reviews of the other sections on Exam 2, refer to the first page of WIR #4 and #5. Section 7.1 - Experiments, Sample Spaces,

More information

If you roll a die, what is the probability you get a four OR a five? What is the General Education Statistics

If you roll a die, what is the probability you get a four OR a five? What is the General Education Statistics If you roll a die, what is the probability you get a four OR a five? What is the General Education Statistics probability that you get neither? Class Notes The Addition Rule (for OR events) and Complements

More information

Math Exam 2 Review. NOTE: For reviews of the other sections on Exam 2, refer to the first page of WIR #4 and #5.

Math Exam 2 Review. NOTE: For reviews of the other sections on Exam 2, refer to the first page of WIR #4 and #5. Math 166 Spring 2007 c Heather Ramsey Page 1 Math 166 - Exam 2 Review NOTE: For reviews of the other sections on Exam 2, refer to the first page of WIR #4 and #5. Section 7.1 - Experiments, Sample Spaces,

More information

This Probability Packet Belongs to:

This Probability Packet Belongs to: This Probability Packet Belongs to: 1 2 Station #1: M & M s 1. What is the sample space of your bag of M&M s? 2. Find the theoretical probability of the M&M s in your bag. Then, place the candy back into

More information

1. A factory makes calculators. Over a long period, 2 % of them are found to be faulty. A random sample of 100 calculators is tested.

1. A factory makes calculators. Over a long period, 2 % of them are found to be faulty. A random sample of 100 calculators is tested. 1. A factory makes calculators. Over a long period, 2 % of them are found to be faulty. A random sample of 0 calculators is tested. Write down the expected number of faulty calculators in the sample. Find

More information

Discrete Finite Probability Probability 1

Discrete Finite Probability Probability 1 Discrete Finite Probability Probability 1 In these notes, I will consider only the finite discrete case. That is, in every situation the possible outcomes are all distinct cases, which can be modeled by

More information

Use a tree diagram to find the number of possible outcomes. 2. How many outcomes are there altogether? 2.

Use a tree diagram to find the number of possible outcomes. 2. How many outcomes are there altogether? 2. Use a tree diagram to find the number of possible outcomes. 1. A pouch contains a blue chip and a red chip. A second pouch contains two blue chips and a red chip. A chip is picked from each pouch. The

More information

Probability: introduction

Probability: introduction May 6, 2009 Probability: introduction page 1 Probability: introduction Probability is the part of mathematics that deals with the chance or the likelihood that things will happen The probability of an

More information

Objective: Determine empirical probability based on specific sample data. (AA21)

Objective: Determine empirical probability based on specific sample data. (AA21) Do Now: What is an experiment? List some experiments. What types of things does one take a "chance" on? Mar 1 3:33 PM Date: Probability - Empirical - By Experiment Objective: Determine empirical probability

More information

Exercise Class XI Chapter 16 Probability Maths

Exercise Class XI Chapter 16 Probability Maths Exercise 16.1 Question 1: Describe the sample space for the indicated experiment: A coin is tossed three times. A coin has two faces: head (H) and tail (T). When a coin is tossed three times, the total

More information

Grade 5 Logical Reasoning

Grade 5 Logical Reasoning ID : F-5-Logical-Reasoning [1] Grade 5 Logical Reasoning For more such worksheets visit www.edugain.com Answer the questions (1) How many triangles are there in this figure? (2) Kimberly remembers that

More information

Foundations to Algebra In Class: Investigating Probability

Foundations to Algebra In Class: Investigating Probability Foundations to Algebra In Class: Investigating Probability Name Date How can I use probability to make predictions? Have you ever tried to predict which football team will win a big game? If so, you probably

More information

Probability MAT230. Fall Discrete Mathematics. MAT230 (Discrete Math) Probability Fall / 37

Probability MAT230. Fall Discrete Mathematics. MAT230 (Discrete Math) Probability Fall / 37 Probability MAT230 Discrete Mathematics Fall 2018 MAT230 (Discrete Math) Probability Fall 2018 1 / 37 Outline 1 Discrete Probability 2 Sum and Product Rules for Probability 3 Expected Value MAT230 (Discrete

More information

Answers for Chapter 12 Masters

Answers for Chapter 12 Masters Answers for Chapter 2 Masters Scaffolding Answers Scaffolding for Getting Started Activity pp. 55 56 A. 20-sided die: one on the die, 20 numbers on the die, 2 0 Spinner A: one on the spinner, 0 numbers

More information

Independent Events B R Y

Independent Events B R Y . Independent Events Lesson Objectives Understand independent events. Use the multiplication rule and the addition rule of probability to solve problems with independent events. Vocabulary independent

More information

Chapter 16. Probability. For important terms and definitions refer NCERT text book. (6) NCERT text book page 386 question no.

Chapter 16. Probability. For important terms and definitions refer NCERT text book. (6) NCERT text book page 386 question no. Chapter 16 Probability For important terms and definitions refer NCERT text book. Type- I Concept : sample space (1)NCERT text book page 386 question no. 1 (*) (2) NCERT text book page 386 question no.

More information

Unit 7 Central Tendency and Probability

Unit 7 Central Tendency and Probability Name: Block: 7.1 Central Tendency 7.2 Introduction to Probability 7.3 Independent Events 7.4 Dependent Events 7.1 Central Tendency A central tendency is a central or value in a data set. We will look at

More information

Probability and Statistics. Copyright Cengage Learning. All rights reserved.

Probability and Statistics. Copyright Cengage Learning. All rights reserved. Probability and Statistics Copyright Cengage Learning. All rights reserved. 14.2 Probability Copyright Cengage Learning. All rights reserved. Objectives What Is Probability? Calculating Probability by

More information

STAT 430/510 Probability Lecture 3: Space and Event; Sample Spaces with Equally Likely Outcomes

STAT 430/510 Probability Lecture 3: Space and Event; Sample Spaces with Equally Likely Outcomes STAT 430/510 Probability Lecture 3: Space and Event; Sample Spaces with Equally Likely Outcomes Pengyuan (Penelope) Wang May 25, 2011 Review We have discussed counting techniques in Chapter 1. (Principle

More information

Module 4 Project Maths Development Team Draft (Version 2)

Module 4 Project Maths Development Team Draft (Version 2) 5 Week Modular Course in Statistics & Probability Strand 1 Module 4 Set Theory and Probability It is often said that the three basic rules of probability are: 1. Draw a picture 2. Draw a picture 3. Draw

More information

CSC/MATA67 Tutorial, Week 12

CSC/MATA67 Tutorial, Week 12 CSC/MATA67 Tutorial, Week 12 November 23, 2017 1 More counting problems A class consists of 15 students of whom 5 are prefects. Q: How many committees of 8 can be formed if each consists of a) exactly

More information

Name: Exam 1. September 14, 2017

Name: Exam 1. September 14, 2017 Department of Mathematics University of Notre Dame Math 10120 Finite Math Fall 2017 Name: Instructors: Basit & Migliore Exam 1 September 14, 2017 This exam is in two parts on 9 pages and contains 14 problems

More information