Probability Test Review Math 2. a. What is? b. What is? c. ( ) d. ( )

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1 Probability Test Review Math 2 Name 1. Use the following venn diagram to answer the question: Event A: Odd Numbers Event B: Numbers greater than 10 a. What is? b. What is? c. ( ) d. ( ) 2. In Jason's homeroom class, there are 11 students who have brown eyes, 5 students who are lefthanded, and 3 students who have brown eyes and are left-handed. If there are a total of 26 students in Jason's homeroom class, draw a Venn diagram and find how many of them have neither brown eyes nor are left-handed? 3. The venn diagram shows the ways that students get to school. Use the diagram to answer the following questions. a. How many students travel by bike and car? b. How many students are included in this diagram? c. How many students use only bikes? d. P(bike or car) e. P(walk and bike)

2 4. What is the probability of rolling a 4 on a number cube? 5. Find the probability of drawing a king from a deck of cards. 6. What are the odds of choosing a brown M&M out of a bag of 8 red, 5 brown and 9 yellow M&Ms? 7. Using a standard deck of 52 cards, find each probability. a. P(ace) b. P(a card of 5 or less) c. P(a red face card) d. P(not a queen) 8. A bag contains 2 white, 4 yellow, and 10 red markers. One marker is drawn randomly. What are the odds of each event occurring? a. drawing a yellow b. not drawing a red marker c. drawing a white or a yellow d. drawing a red and a white 9. Three cards are to be chosen at random from a deck of cards. What are the odds that all 3 are face cards? 10. Three cards are to be chosen at random from a deck of cards. What is the probability that 2 are queens and 1 is an ace? 11. The odds of winning a prize in a raffle with one raffle ticket are 1/249. What is the probability of winning with one ticket?

3 Determine if each event is independent or dependent. Then determine the probability. 12. The probability of selecting a red marble, not replacing it, then a green marble from a box of 6 red marbles and 2 green marbles. 13. The probability of randomly selecting 2 dimes, from a bag containing 10 dimes and 8 pennies, if the first selection is replaced. 14. The probability of selecting three different-colored crayons from a box containing 5 red, 4 black, and 7 blue crayons, if each crayon is replaced. Determine if each event is mutually inclusive or mutually exclusive. Then determine the each probability. 15. The probability of tossing two number cubes and either one shows a The probability of selecting a 10 or an ace from a standard deck of cards 17. The probability of selecting an ace card or a black card from a standard deck of cards 18. In a bingo game, balls numbered 1 to 75 are placed in a bin. One ball is randomly drawn. Find the probability of selecting a multiple of five or an even number. 19. Two number cubes are rolled. Find the probability of each event given their sum is greater than or equal to 4. a. P(numbers match) b. P(1 cube shows a 3) 20. Three coins are tossed. Given at least one coin shows a heads, find the probability that one coin shows a tails.

4 21. A jar contains 4 blue paper clips and 8 red paper clips. One paper clip is randomly drawn and discarded. Then a second paper clip is drawn. Find each probability. a. the second paper clip is blue, given that the first paper clip was red b. the second paper clip is blue, given that the first paper clip was blue c. the second paper clip is red, given that the first paper clip was red 22. Use the table to answer the following questions. a. How many favorable outcomes were there in the experiment? b. How many total outcomes were there in the experiment? c. What is the experimental probability of the coin landing on heads? d. What is the theoretical probability of the coin landing on heads? 23. Given set A = {3, 5, 7, 8, 10, 14, 15, 16, 18, 19, 20}, B, C, and D are all subsets. Use them to answer the following questions. B = {3, 5, 8, 10, 14, 19} C = {3, 5, 7, 8, 15, 16} D = {7, 10, 18, 20} a. b. c. ( ) d. e. f.

5 Determine the number of arrangements that can be created. Do the work by hand. 24. How many ways can eight books be arranged on a shelf. 25. The Outdoor Environmental Club consists of 20 members, of which nine are male and eleven are female. Seven members will be selected to form an event-planning committee. a. How many different ways are there to create this committee? b. On the committee, 2 people will be in charge of venue, 2 people in charge of attendance, and 3 people in charge of food. How many ways are there to form this committee? c. If the committee wants to have four females and three males, how many ways can the committee be formed? 26. How many different ways can a coach select a starting lineup of 1 center, 2 forwards, and 2 guards if the team consists of 3 centers, 5 forwards, and 3 guards? If there are 3 blue, 2 red, 4 green, 4 purple, and 2 yellow marbles in a bag, and 3 marbles are drawn at random, determine the following probabilities. 27. P(3 purple) 28. P(2 red, 1 blue) 29. P(no green) If two cards are drawn at random from a standard deck of cards, determine the following probabilities. 30. P(2 black or 2 diamonds) 31. P(2 face cards or 2 hearts) 32. P(2 even #s or 2 face cards) 33. P(2 < 8 or 2 hearts)