A basket of fruits contains 5 apples and 3pears. Sharon took two fruitsat random. what is the probability that both fruits are apples? Write your answerin the simplect form of fraction

1 answer

To find the probability of both fruits being apples, we first need to determine the total number of possible outcomes when Sharon takes two fruits from the basket.

There are a total of 8 fruits in the basket (5 apples + 3 pears), so there are 8C2 = 28 ways to choose 2 fruits from the basket.

Next, we need to determine the number of ways Sharon can choose 2 apples from the basket. Since there are 5 apples in the basket, there are 5C2 = 10 ways for Sharon to choose 2 apples.

Therefore, the probability that both fruits are apples is:

10 ways to choose 2 apples / 28 total ways to choose 2 fruits
= 10/28
= 5/14

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