A basket of fruit contains 5 apples and 3 pears. Sharon took two fruits at random. What is the probability that both fruits are apples? Write your answer in the simplest form of fraction.

Answer 1

The total number of fruits in the basket is 5 + 3 = 8.

The probability of Sharon selecting an apple on the first draw is 5/8.

After selecting an apple, Sharon is left with 4 apples and 3 pears in the basket.

The probability of Sharon selecting another apple on the second draw is 4/7.

Therefore, the probability of Sharon selecting both apples is (5/8) * (4/7) = 20/56 = 5/14.

So, the probability that both fruits are apples is 5/14.