Chapter 13 Test Review


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1 1. The tree diagrams below show the sample space of choosing a cushion cover or a bedspread in silk or in cotton in red, orange, or green. Write the number of possible outcomes. A 6 B 10 C 12 D 4 Find the number of possible outcomes. 2. A spinner with 3 equal sections is spun 4 times. A 7 B 12 C 81 D How many outfits are possible if you choose one each of 6 shirts, 5 pairs of pants, 5 pairs of socks, and 4 pairs of shoes? A 20 B 100 C 150 D A tailor makes silk shirts. There are 5 different colors to choose from and they can be made with either long sleeves or short sleeves. They also come with either buttons or snaps. How many different shirts does he offer? 5. A fair coin is tossed and then a fair die is rolled. Make an organized list of the sample space. 6. Point p is chosen at random on. Find the probability that p is on.
2 7. Point p is chosen at random on. Find the probability that p is on. Seniors at a high school were asked what color car they drive. The results were put in a circle graph. The measure of each central angle is shown. If a senior is chosen at random from this school, find the probability of each response. What Color Is Your Car? 8. Car color is red. A 0.38 B 0.36 C 0.32 D Car color is silver. A 0.15 B 0.19 C 0.18 D 0.16 A badminton court has stripes dividing it into rectangular regions. For singles play, the inbound region is defined by segments and. The doubles court is bound by the segments and. 10. Find the probability that a shuttlecock in a singles game will land inside the court but out of bounds.
3 11. One side of a rectangle is a diameter of a circle. The length of the rectangle is 20 feet and the width of the rectangle is 10 feet. To the nearest hundredth, what is the probability that a point chosen at random is in the shaded region? 12. A coin is tossed and the spinner below is spun. Find the probability of tossing tails and spinning a number greater than On a bookshelf, there are 8 fiction and 7 nonfiction books. Paul randomly selects one, puts it back, and then randomly selects another. What is the probability that both selections were fiction books? A 22% B 28% C 30% D 25% 14. A fruit bowl contains 3 apples, 4 pears, and 4 oranges. Kayla selects 2 fruits at random without replacement. What is the probability that she selects an apple, then an orange? A 28.6% B 10.9% C 9.9% D 14.5% 15. A bag contains 6 green marbles and 8 yellow marbles. Marco draws a marble and does not replace it and then Katlynn draws a marble. What is the probability that they both chose a green marble? Round to the nearest percent. A 16.5% B 15.3% C 30.8% D 18.4% 16. There are 20 students choosing teams for kickball. The students randomly draw cards numbered from 1 to 20. Students who draw odd numbers are on the red team, and students who draw even numbers are on the blue team. If Amy is on the blue team, what is the probability that she drew the number 12? 17. A spinner numbered 1 through 20 is spun. Find the probability that the number spun is a 13 given that the number spun was a prime number.
4 Determine whether the events are dependent or independent. Then find the probability. 18. You roll a die and get either a 1 or 2 both times. 19. Determine whether the events are mutually exclusive or not mutually exclusive. Then, find the probability. One ball is drawn from a bag containing 5 white balls, 6 black balls, and 4 red balls. P(white or black) A mutually exclusive; B mutually exclusive; C not mutually exclusive; D not mutually exclusive; 20. Kurt has the following coins in a jar. If he selects one coin at random, what is the probability that the coin is a penny or a dime? Coin Number of Coins penny 11 nickel 14 dime 15 quarter A card is drawn from a standard deck of cards. Determine whether the events are mutually exclusive or not mutually exclusive. Then, find the probability. P(jack or heart) A not mutually exclusive, B mutually exclusive, C mutually exclusive, D not mutually exclusive, 22. A sponsor for an academic team needs to pick one student representative. If the student is randomly chosen, what is the probability that the student would be a boy or on the science team? Event Boy Girl Math 6 7 Science 2 8 Writing 4 9 A 61.1% B 50% C 9.3% D 55.6% 23. Out of 65 people at a movie theater, 32 bought a snack for the movie. If two people were chosen at random from the crowd, what is the probability that at least one of them did not buy a snack for the movie? A 23.8% B 52.3% C 76.2% D 79.1%
5 24. Out of 100 people at a tennis match, 78% were rooting for the local champion. If two people were chosen at random from the crowd, what is the probability that at least one of them was not rooting for the champion? A 60.7% B 17.3% C 43.6% D 39.3% Determine whether the events are mutually exclusive or not mutually exclusive. Then find the probability. 25. Art Class Teen Adult Senior Pottery Painting Drawing The table shows the enrollment for April s classes at a community art center. One of the participants was chosen at random to receive a free class. What is the probability that the winner was an adult or in the drawing class? 26. Drawing a queen or a club from a standard deck of cards.
2 C. 1 D. 2 4 D. 5 3 C. 25 D. 2
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