22. A bowl contains twenty cherries, exactly fifteen of which have had their stones removed. A greedy pig eats five whole cherries, picked at random, without remarking on the presence or absence of stones. Subsequently, a cherry is picked randomly from the remaining fifteen. (a) What is the probability that this cherry contains a stone? (b) Given that this cherry contains a stone, what is the probability that the pig consumed at least one stone?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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22. A bowl contains twenty cherries, exactly fifteen of which have had their stones removed. A
greedy pig eats five whole cherries, picked at random, without remarking on the presence or absence
of stones. Subsequently, a cherry is picked randomly from the remaining fifteen.
(a) What is the probability that this cherry contains a stone?
(b) Given that this cherry contains a stone, what is the probability that the pig consumed at least one
stone?
Transcribed Image Text:22. A bowl contains twenty cherries, exactly fifteen of which have had their stones removed. A greedy pig eats five whole cherries, picked at random, without remarking on the presence or absence of stones. Subsequently, a cherry is picked randomly from the remaining fifteen. (a) What is the probability that this cherry contains a stone? (b) Given that this cherry contains a stone, what is the probability that the pig consumed at least one stone?
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