A basket contains 8 pieces of fruit: 3 apples, 3 oranges, and 2 bananas. Jonas takes a piece of fruit at random from the basket, and then Beth takes a piece at random. What is the probability that Jonas will get an orange and Beth will get an apple?

Question

Mathematics

Willow Robbins

23 March, 14:02

A basket contains 8 pieces of fruit: 3 apples, 3 oranges, and 2 bananas. Jonas takes a piece of fruit at random from the basket, and then Beth takes a piece at random. What is the probability that Jonas will get an orange and Beth will get an apple?

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Answers (1)

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Washington · Answer 1

As the basket contains 8 pieces of fruits of which 3 are oranges,

the probability that Jonas will get an orange is 3/8.

Considering Jonas has already got an orange, as 7 fruits are left of which 3 are apple, probability that Beth will get an apple will be 3/7.

Hence the probability that Jonas will get an orange and Beth will get an apple is 3/8*3/7=9/56

Answer: 9/56