University:
North Central College
Course:
EDUC 324 | Elementary Methods: Mathematics
Academic year:

2021
Views:

121

Pages:

2
Author:

GalacticGuru

Algebra 2 CP 10.5 Worksheet Name: Key Assignment: G Find the probability of drawing the given cards from a standard deck of 52 cards. First, with replacement and then without. 1. A club, then a diamond With replacement: 13/52 * 13/52 = 1/16 Without replacement: 13/52 * 13/51 = 13/204 2. A jack, then a 7 With replacement: 4/52 * 4/52 = 1/169 Without replacement: 4/52 * 4/51 = 4/663 3. A 5, then a face card, then an ace With replacement: 4/52 * 12/52 * 4/52 = 3/2197 Without replacement: 4/52 * 12/51 * 4/50 = 8/5525 4. A king, then another king, then a third king With replacement: 4/52 * 4/52 * 4/52 = 1/2197 Without replacement: 4/52 * 3/51 * 2/50 = 1/5525 5. An ace, then a face With replacement: 4/52 * 12/52 = 3/169 Without replacement: 4/52 * 12/51 = 4/221 6. A two, then a joker With replacement: 4/52 * 0/52 = 0 Without replacement: 4/52 * 0/51 = 0 Marbles: A jar contains 12 red marbles, 16 blue marbles, and 18 white marbles. 7. Three marbles are chosen without replacement. What is the probability none of them are white? 28/46 * 27/45 * 26/44 = 273/1265 8. Four marbles are chosen without replacement. What is the probability that they are all white? 18/46 * 17/45 * 16/44 * 15/43 = 0.01875 9. Three marbles are chosen without replacement. What is the probability that at least one is white? 1 - P(none) = 1 - 28/46 * 27/45 * 26/44 = 992/1265 File Cabinet: Each drawer in a 5-drawer file cabinet has 50 folders. You are searching for some information that is in one of the folders, but you do not know which folder has the information. 10. What is the probability that the information is in the first drawer you choose? 1/5 11. What is the probability that the information is not in the first folder you choose? 1 - P(not) = 1 - 1/250 = 249/250 12. What is the probability that the information is not in the first six folders you choose? 244/250 = 122/125 Apples: The probability of selecting a rotten apple from a basket is 14%. 13. Find the probability of selecting 3 good apples when selecting 1 apple from each of 3 different baskets? (86/100) * (86/100) * (86/100) = 0.636056 Tea: A mixed box of herbal teas has 2 lemon, 3 orange-mango, 3 chamomile, and 1 apricot-ginger. Kevin chooses two at random. 14. What is the probability that he chose a lemon, then a chamomile? (2/9) * (3/8) = 1/12 15. What is the probability that he grabbed 2 orange-mango and a lemon? (3C2 * 2C1) / 9C3 = 6/84 = 1/14 Money: Your SpongeBob SquarePants ceramic bank has 5 quarters, 2 dimes, and 3 nickels - because nickels is money, too! Three coins are removed at the same time. 16. What is the probability that you grab 2 nickels and a quarter? (3C2 * 5C1) / 10C3 = 15/120 = 1/8 17. What is the probability that you have 40¢ in your hand? (5C1 * 2C2 * 3C1) / 10C3 = 30/120 = 1/4 18. What is the probability that you have 10¢ in your hand? (5C2 * 2C1 * 3C0) / 10C3 = 10/120 = 1/12 Color Spinner: 19. If you spin the arrow twice, what is the probability that the arrow will land on a white wedge, then a red? (3/12) * (4/12) = 1/12 20. If you spin the arrow three times, what is the probability that the arrow will land on a red, blue, and then blue wedge again? (4/12) * (3/12) * (3/12) = 1/48

Math Algebra 10.5 Worksheet Key

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