University:
Central Michigan University
Course:
MATH 1401 | Elementary Statistics
Academic year:

2020
Views:

259

Pages:

2
Author:

5CelestialChronicle

Algebra 2 Honors Probability Assignment You have an equally likely chance of choosing any integer from 1 through 50. Find the probability of the given event. An even number is chosen 25/50 = 1/2 A number less than 35 is chosen 34/50 = 17/25 A perfect square is chosen (1, 4, 9, 16, 25, 36, 49) 7/50 A prime number is chosen (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47) 15/50 = 3/10 A two-digit number is chosen 41/50 A perfect cube is chosen 3/50 A card is randomly drawn from a standard deck of 52 cards. Find the probability of drawing the given card. The king of diamonds 1/52 A king 4/52 = 1/13 A spade 13/52 = 1/4 A black card 26/52 = 1/2 A card other than 2 48/52 = 12/13 A face card (a king, queen, or jack) 12/52 = 3/13 13. Lottery: What is the probability that you correctly selected 6 out of 48 possible numbers? 6C6 / 48C6 = 1/12,271,512 14. Months of the Year: What is the probability that 2 randomly selected months both have 31 days? 7C2 / 12C2 = 21/66 = 7/22 15. Jury Selection: A jury of 12 people is selected from a pool of 30 people that includes 12 men and 18 women. What is the probability that the jury will be composed of 12 women? 18C12 / 30C12 = 18,564/8,493,225 16. Flag carriers: There are 16 flag carriers - 11 female and 5 male. What is the probability that 2 females and 2 males will be chosen to lead the procession? (round answer to three decimal places) 11C2 * 5C2 / 16C4 = 55/182 ≈ 0.302 17. Basketball: You and your friend are playing on a recreational basketball team that has a total of 8 players. Five players will be chosen at random to start the game. What is the probability that both you and your friend will be chosen to play? 2C2 * 6C3 / 8C5 = 1/14 18. Auditions: For a play tryout, 10 students are reciting monologues. The order in which the students perform is randomly selected. What is the probability that 2 of your 4 friends trying out will be the first 2 performers? 4C2 / 10C2 = 1/15 19. Movies: Abed has all 4 Night of the Living Dead movies. He's invited you and Troy over to watch them, but you can only stay for 2 movies because you've got Anthropology homework. What is the probability that you'll be able to watch the one good one? 3C1 / 4C2 = 3/6 = 1/2 20. Friends: Britta, Jeff, Shirley, Pierce, and Annie are making a diorama. There are only enough pipe cleaners to represent 3 of the five of them. What is the probability that, if selected at random, two of the female figures and one of the male figures will be made with the materials on hand? 3C2 * 2C1 / 5C3 = 3/10 Marbles: You randomly choose a marble from a bag. The bag contains 10 black, 8 red, 4 white, and 6 blue marbles. Find the indicated odds. 21. In favor of choosing white 4:24 = 1:6 22. In favor of choosing blue 6:22 = 3:11 23. Against choosing red 20:8 = 5:2 24. Against choosing black 18:10 = 9:5

Math Probability Day 4 Worksheet Key

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