Study Island Statistics and Probability


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1 Study Island Statistics and Probability Copyright 2014 Edmentum  All rights reserved. 1. An experiment is broken up into two parts. In the first part of the experiment, a sixsided die is rolled. In the second part of the experiment, a dime is tossed in the air. What is the probability of landing on heads? 2. The contingency table below gives the counts of students by activities and gender. Band Sports Debate Total Male Female Total If a student is randomly selected, what is the probability that a student is female or plays sports?
2 3. In a certain city, a poll of 1,000 people was conducted. The poll asked the participants whether or not they were currently employed and whether or not they were skilled or unskilled workers. Employed Unemployed totals Skilled Unskilled totals ,000 Using the table above, determine which of the following statements is true if someone from the group of people polled was chosen at random. The probability that the worker is unskilled given that they are employed is greater than the probability that the worker is employed given that they are unskilled. The probability that the worker is unskilled given that they are employed is less than the probability that the worker is employed given that they are unskilled. The probability that the worker is skilled given that they are unemployed is less than the probability that the worker is unemployed given that they are skilled. The probability that the worker is unskilled given that they are unemployed is less than the probability that the worker is unemployed given that they are unskilled. 4. Terry is going to purchase one item each from two quarter machines. The first quarter machine contains bracelets that are 6 different colors, including her favorite color, purple. There are equal amounts of each color. The second quarter machine contains 1 sticky hand, 1 pencil topper, 2 erasers, 3 plastic rings, and 4 bouncing balls. What is the probability that Terry will get a purple bracelet and an eraser by putting a quarter in each machine?
3 5. Two cards are randomly drawn from an ordinary deck of playing cards without replacement. What is the probability that the first card is a heart and the second card is a diamond?
4 6. A group of 500 randomly chosen drivers was polled. The poll asked drivers if they preferred a gasoline engine or a diesel engine and if they regularly carpool or do not. The results are recorded in the table below. Gasoline Diesel totals Doesn't Carpool Carpool totals Using the table above, determine which of the following statements is true if someone from the group of people polled was chosen at random. The probability that the driver regularly carpools given that they prefer a diesel engine is greater than the probability that the driver prefers a diesel engine given that they regularly carpool. The probability that the driver regularly carpools given that they prefer a gasoline engine is greater than the probability that the driver prefers a gasoline engine given that they regularly carpool. The probability that the driver does not regularly carpool given that they prefer a diesel engine is greater than the probability that the driver prefers a diesel engine given that they do not regularly carpool. The probability that the driver does not regularly carpool given that they prefer a gasoline engine is greater than the probability that the driver prefers a gasoline engine given that they do not regularly carpool.
5 7. A card is randomly drawn from an ordinary deck of playing cards. What is the probability that the card is a king or a diamond? 8. In a randomly selected family with two children, excluding multiple births, what is the probability of having two girls? (Assume a girl is as likely as a boy at each birth.) 0 9. Mr. Brown's statistics class consists of 21 seniors. The class took two quizzes in one week, and 12 of the students in the class passed both quizzes. What is the probability that the same students who passed the first quiz also passed the second quiz given that 19 students passed the first quiz?
6 10. An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. What is the probability that the sum of the dots is divisible by 3? 11. A garden club is selecting a twoperson fundraising committee. There are 10 males and 15 females in the club. If two members are randomly selected, what is the probability that both members will be female? 12. In a bag of keys, there are 14 silver keys, 7 black keys, 11 copper keys, and 4 painted keys of various colors. One key is drawn out at random. What is the probability that the key that is drawn is silver or copper?
7 13. Sam's closet contains blue and green shirts. He has eight blue shirts, and seven green shirts. Five of the blue shirts have stripes, and four of the green shirts have stripes. What is the probability that Sam randomly chooses a shirt that is blue or has stripes? 14. Kara needs to pick a pair of matching socks from a drawer consisting of 4 black socks, 11 blue socks, 3 white socks, and 5 brown socks. If the first sock that Kara draws is blue, what is the probability that she will get a matching sock on her second draw? 15. A bag contains four red marbles, seven green marbles, seven blue marbles, and two yellow marbles. If Lisa draws a random marble from the bag, what is the probability that it will be a red, green, or blue marble? 16. In a group of 294 students, 130 are seniors and 121 are males. Exactly onehalf of seniors are females. If a student is randomly selected, what is the probability that the student is a senior or a female?
8 17. There are 935 students at Stoneville High School. At the school, 27 seniors are in the band, and there are 215 students in the band overall. What is the probability that a student is a senior given that they are in the band?
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