- #1

Alexsandro

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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 chery contains a stone ?

(b) Given that this cherry contains a stone, what is the probability that the pig consumed at least one stone ?