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 point)

Answer 1

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

The probability of the first fruit being an apple is 5 apples / 8 total fruits = 5/8.

After taking one apple, there are 4 apples left and 7 fruits total, so the probability of the second fruit being an apple is 4 apples / 7 total fruits = 4/7.

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

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