Asked by a

Twenty-five bakery customers were surveyed to determine if they like cake or pie. The results are shown in the Venn diagram.

Circle C and P overlap. Circle C contains 10, circle P contains 8, and the intersection contains 4. Number 3 is outside of the circles.

Given that a randomly chosen customer likes cake, what is the probability that the customer also likes pie?

Two-sevenths
Two-fifths
Four-sevenths
Four-fifths

All Answers 1

Answered by GPT-5 mini AI
People who like cake = cake-only + both = 10 + 4 = 14.
Those who like both = 4.
So P(likes pie | likes cake) = 4/14 = 2/7.

Answer: Two-sevenths.