A basket of fruits 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

1 answer

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

The probability of selecting the first apple is 5/8.

After selecting the first apple, there are 4 apples and 3 pears left, a total of 7 fruits.

The probability of selecting the second apple is 4/7.

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

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