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10.A jar contains 5 yellow, 7 orange, and 6 red jelly beans.Three jelly beans are selected at random.Find the probability that the selection includes the

10.A jar contains 5 yellow, 7 orange, and 6 red jelly beans.Three jelly beans are selected at random.Find the probability that the selection includes the following.

(a)All orange jelly beans(b) 2 yellow and 1 red jelly bean

(c)At most 2 orange jelly beans(d) At least 1 red jelly bean

11.Five cards are drawn at random from an ordinary deck of 52 cards.Find the probability that the 5-card hand contains the following:

(a)2 queens and 2 aces(b) All hearts

(c)3 cards of the same suit(d) At most 2 spades

12.A die is rolled 10 times.Find the probability of rolling

(a)Exactly 4 threes(b) At most 2 fours(c) At least 2 fives

13.A coin is tossed 8 times.Find the probability of rolling

(a)All tails(b) At most 3 tails(c) Exactly 4 heads

14.Fifty-four percent of all students at a certain school ski.If a sample of 32 students at this school is selected, and if their responses are independent, find the probability that exactly

(a)24 of the 32 students ski(b) All 32 students ski

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