Name: _ Date: Chapter 13 April Vacation Packet Class: _ 1. In a batch of 390 water purifiers, 12 were found to be defective. What is the probability that a water purifier chosen at random will be defective? Write the probability as a percent. Round to the nearest tenth of a percent if necessary. a. 4% b. 96.9% c. 3.1% d. 72.7% 2. What is the probability of rolling a sum of 8 or 5 on a pair of number cubes? a. 5 36 c. 7 324 b. 2 9 d. 1 4 3. In how many different orders can you line up 8 cards on a table? a. 8 b. 1 c. 1,680 d. 40,320 4. 9 students volunteer for a committee. How many different 7-person committees can be chosen? a. 181,440 b. 362,880 c. 1 d. 36 5. The number of eagles observed along a certain river per day over a two week period is listed below. What is a frequency table that represents the data? a. c. 1 3 2 5 10 8 9 15 0 7 12 13 6 18 b. d. 6. What are the odds of the spinner landing on a dark section? a. 2 : 1 b. 2 : 4 c. 4 : 2 d. 1 : 5 7. You roll a standard number cube. Find P(number greater than 1) a. 6 5 b. 5 6 c. 1 6 d. 1 Page 1
8. A yogurt shop offers 6 different flavors of frozen yogurt and 12 different toppings. How many choices are possible for a single serving of frozen yogurt with one topping? a. 144 b. 72 c. 36 d. 665,280 9. How many different arrangements can be made with the letters in the word POWER? a. 120 b. 20 c. 25 d. 100 10. In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 21 vowels and 15 consonants, what is the probability you will choose a consonant and then a vowel? a. 35 8 b. 35 4 c. 35 144 d. 1 36 11. Verne has 6 math books to line up on a shelf. Jenny has 4 English books to line up on a shelf. In how many more orders can Verne line up his books than Jenny? a. 24 b. 720 c. 14 d. 696 12. Suppose Ruth Ann has 3 routes she can choose from to get from school to the library, and 5 routes from the library to her home. How many routes are there from Ruth Ann s school to her home with a stop at the library? a. 9 b. 60 c. 15 d. 25 13. Evaluate. a. 9 b. 1 c. 5,040 d. 7 14. What is the probability of rolling a sum of 8 on at least one of two rolls of a pair of number cubes? a. 5 18 c. 25 1296 b. 335 1296 d. 4 81 15. A bag contains 6 red marbles, 6 white marbles, and 4 blue marbles. Find P(red or blue). a. 2 3 b. 3 2 c. 5 8 d. 3 4 16. Evaluate. a. 14,190 b. 4 c. 8,555 d. 17. In how many ways can 3 singers be selected from 5 who came to an audition? a. 1 b. 10 c. 5 d. 60 18. Using a sixteen-sided number cube, what is the probability that you will roll an even number or an odd prime number? Round to three decimals. a. 0.063 b. 0.813 c. 0.219 d. 0.875 19. Suppose Q and R are independent events. Find P(Q and R). P(Q) = 0.41, P(R) = 0.44 a. 0.03 b. 0.1804 c. 0.85 d. 0.0123 20. Evaluate. a. 9 b. 362,880 c. 126 d. 3,024 Page 2
21. A bag contains 8 red marbles, 4 white marbles, and 5 blue marbles. Find P(red and blue). a. 40 17 b. 0 c. 12 17 d. 13 16 22. This is a spinner used in a board game. What is the probability that the spinner will land on a multiple of 3 and 4? a. b. c. d. 23. Lynn and Dawn tossed a coin 60 times and got heads 33 times. What is the experimental probability of tossing heads using Lynn and Dawn s results? a. 20 11 b. 9 20 c. 11 20 d. 9 11 24. What is the theoretical probability of being dealt exactly three 4's in a 5-card hand from a standard 52-card deck? a. 2162 54145 b. 94 54145 c. 2 759 d. 2 33 Page 3
Chapter 13 - April Packet Answer Section 1. ANS: C PTS: 1 DIF: L3 REF: 12-7 Theoretical and Experimental Probability OBJ: 12-7.1 To find theoretical and experimental probabilities Page 4 NAT: D.4.b D.4.c D.4.d D.4.j KEY: experimental probability TOP: 12-7 Problem 4 Finding Experimental Probability 2. ANS: D PTS: 1 DIF: L3 REF: 12-8 Probability of Compound Events OBJ: 12-8.1 To find probabilities of mutually exclusive and overlapping events NAT: D.4.a D.4.c D.4.h D.4.j TOP: 12-8 Problem 1 Mutually Exclusive and Overlapping Events KEY: mutually exclusive events 3. ANS: D PTS: 1 DIF: L2 TOP: 11-1 Problem 2 Find the Number of Permutations of n Items KEY: Fundamental Counting Principle permutation n factorial 4. ANS: D PTS: 1 DIF: L3 REF: 12-6 Permutations and Combinations OBJ: 12-6.1 To find permutations and combinations NAT: D.4.e D.4.j TOP: 12-6 Problem 4 Using Combination Notation KEY: combination 5. ANS: C PTS: 1 DIF: L3 REF: 12-2 Frequency and Histograms OBJ: 12-2.1 To make and interpret frequency tables and histograms NAT: D.1.a D.1.b D.1.c STA: AI.D.1 TOP: 12-2 Problem 1 Making a Frequency Table 6. ANS: A PTS: 1 DIF: L3 REF: 12-7 Theoretical and Experimental Probability OBJ: 12-7.1 To find theoretical and experimental probabilities TOP: 12-7 Problem 3 Finding Odds KEY: odds 7. ANS: B PTS: 1 DIF: L2 REF: 12-7 Theoretical and Experimental Probability KEY: frequency frequency table NAT: D.4.b D.4.c D.4.d D.4.j OBJ: 12-7.1 To find theoretical and experimental probabilities NAT: D.4.b D.4.c D.4.d D.4.j TOP: 12-7 Problem 1 Finding Theoretical Probability KEY: theoretical probability ratio 8. ANS: B PTS: 1 DIF: L2 TOP: 11-1 Problem 1 Using the Fundamental Counting Principle KEY: Fundamental Counting Principle 9. ANS: A PTS: 1 DIF: L3 REF: 12-6 Permutations and Combinations OBJ: 12-6.1 To find permutations and combinations NAT: D.4.e D.4.j TOP: 12-6 Problem 2 Finding Permutations KEY: Multiplication Counting Principle permutation 10. ANS: C PTS: 1 DIF: L3
REF: 12-8 Probability of Compound Events OBJ: 12-8.2 To find probabilities of independent and dependent events NAT: D.4.a D.4.c D.4.h D.4.j TOP: 12-8 Problem 3 Selecting With Replacement KEY: compound events independent events 11. ANS: D PTS: 1 DIF: L3 TOP: 11-1 Problem 2 Find the Number of Permutations of n Items KEY: permutation Fundamental Counting Principle n factorial 12. ANS: C PTS: 1 DIF: L3 TOP: 11-1 Problem 1 Using the Fundamental Counting Principle KEY: Fundamental Counting Principle 13. ANS: D PTS: 1 DIF: L2 REF: 11-1 Permutations and Combinations OBJ: 11-1.2 To count combinations TOP: 11-1 Problem 4 Finding ncr KEY: combination n factorial 14. ANS: B PTS: 1 DIF: L4 REF: 12-8 Probability of Compound Events OBJ: 12-8.1 To find probabilities of mutually exclusive and overlapping events NAT: D.4.a D.4.c D.4.h D.4.j TOP: 12-8 Problem 2 Finding the Probability of Independent Events KEY: independent events 15. ANS: C PTS: 1 DIF: L3 REF: 11-2 Probability TOP: 11-2 Problem 1 Finding Experimental Probability KEY: experimental probability 16. ANS: D PTS: 1 DIF: L4 REF: 11-1 Permutations and Combinations OBJ: 11-1.2 To count combinations TOP: 11-1 Problem 4 Finding ncr KEY: combination n factorial 17. ANS: B PTS: 1 DIF: L2 REF: 11-1 Permutations and Combinations OBJ: 11-1.2 To count combinations TOP: 11-1 Problem 5 Identifying Whether Order is Important KEY: permutation combination n factorial 18. ANS: B PTS: 1 DIF: L3 REF: 11-3 Probability of Multiple Events OBJ: 11-3.2 To find the probability of the event A or B NAT: D.4.a D.4.b D.4.c D.4.h D.4.j STA: AII.D.2 TOP: 11-3 Problem 4 Finding Probability for Mutually Exclusive Events KEY: mutually exclusive events 19. ANS: B PTS: 1 DIF: L2 REF: 11-3 Probability of Multiple Events OBJ: 11-3.1 To find the probability of the event A and B NAT: D.4.a D.4.b D.4.c D.4.h D.4.j STA: AII.D.2 TOP: 11-3 Problem 2 Finding the Probability of Independent Events KEY: independent events 20. ANS: D PTS: 1 DIF: L2 TOP: 11-1 Problem 3 Finding npr KEY: permutation Fundamental Counting Principle n factorial Page 5
21. ANS: B PTS: 1 DIF: L3 REF: 11-2 Probability TOP: 11-2 Problem 1 Finding Experimental Probability KEY: experimental probability 22. ANS: D PTS: 1 DIF: L3 REF: 11-2 Probability TOP: 11-2 Problem 3 Finding Theoretical Probability KEY: theoretical probability 23. ANS: C PTS: 1 DIF: L3 REF: 11-2 Probability TOP: 11-2 Problem 1 Finding Experimental Probability KEY: experimental probability 24. ANS: B PTS: 1 DIF: L3 REF: 11-2 Probability TOP: 11-2 Problem 4 Finding Probability Using Combinatorics KEY: theoretical probability sample space Page 6