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
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.