Probability of Preferring Apples or Bananas

A fruit stand sells three types of fruit: apples, oranges, and bananas. In a survey, it was found that:

- 30 customers prefer apples

- 20 customers prefer oranges

- 25 customers prefer bananas

- 10 customers like both apples and oranges

- 5 customers like both oranges and bananas

- 8 customers like both apples and bananas

- 5 customers like all three types of fruit

If a customer is chosen at random, what is the probability that they prefer either apples or bananas, but not both?