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
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.