A basket contains six apples and five peaches. Three times, you randomly select a piece of fruit, return it to the basket, and then mix the fruit. All three times, the fruit is an apple. Find the probability of this occuring.

Question

Maurice Benitez

Mathematics

9 October, 12:22

A basket contains six apples and five peaches. Three times, you randomly select a piece of fruit, return it to the basket, and then mix the fruit. All three times, the fruit is an apple. Find the probability of this occuring.

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Answers (1)

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Ducky · Answer 1

P (it occurring once) = 6/11

Now as the 3 events are independent we multiply the probs:-

P (apple picked 3 times) = 6/11 * 6/11 * 6/11 = 216/1331 or about 16.2%