A basket contains 11 pieces of fruit: 4 apples, 5 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

Sanai Davies

Mathematics

8 April, 22:46

A basket contains 11 pieces of fruit: 4 apples, 5 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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Elvis Hancock · Answer 1

The probability of Jonas getting an orange is 5/11, and as he has an orange there are only 10 pieces of fruit left in the basket.

Now, the probability of Beth getting an apple 2/10 or 2/5.

So to get the final result we need to multiply Jona's with Beth's:

(5/11) · (2/5) = 10/55