Question

A farmer has an orchard that covers an area of 40 acres. He grows apples on 25 acres, peaches on 7 acres, nectarines on 5 acres, and plums on 3 acres. The fruit trees are equally distributed within the orchard. A tree is chosen at random. Rounded to the nearest tenth of a percent, what is the theoretical probability that the tree is not within the acres of apple trees?

25.0%
37.5%
62.5%
75.4%

Answer 1

Probability = (area not apples) / (total area) = (40 − 25) / 40 = 15/40 = 0.375 = 37.5%. So the answer is 37.5%.