A basket of fruits contain five apples and three pears. Sharon took two fruits at random. What is the probability that both fruits are apples? Write your answer as a fraction
The total number of fruits in the basket is 5 apples + 3 pears = 8 fruits.
The probability of selecting an apple on the first try is 5/8.
After selecting an apple on the first try, there are 4 apples and 3 pears left in the basket, making a total of 7 fruits.
The probability of selecting an apple on the second try is now 4/7.
The probability of selecting both apples is (5/8) * (4/7) = 20/56.
Reducing the fraction, we get 5/14.
Therefore, the probability that both fruits are apples is 5/14.