Question

A grocery store manager took inventory of all the fruit to decide what needed to be donated. Of the 8 pieces of fruit deemed "overripe," 5 were apples.

If the manager randomly selected 4 of the overripe pieces for the first donation package, what is the probability that all of them are apples?
Write your answer as a decimal rounded to four decimal places.

Answer 1

The probability of selecting an apple from the overripe fruit is 5/8. Since there are no replacement, the probability of selecting another apple from the remaining overripe fruit is 4/7, and the probability of selecting another apple after that is 3/6, and the probability of selecting another apple after that is 2/5. Therefore, the probability of selecting all apples is:

(5/8) × (4/7) × (3/6) × (2/5) = 0.0429

Rounded to four decimal places, the probability is 0.0429.