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) explain

1 answer

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

The probability of picking an apple on the first try is 5/8, since there are 5 apples out of 8 total fruits.

After picking an apple on the first try, there are only 4 apples left and 7 total fruits left.

Therefore, the probability of picking an apple on the second try is 4/7.

To find the probability of both events happening (picking an apple on first try and then an apple on the second try), we multiply the probabilities:

(5/8) * (4/7) = 20/56 = 5/14

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