Question

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

Answer 1

A: 2/7

Explanation:

Edge2020

Answer 2

Probability = 2/7

Explanation:

AS the Venn diagram is not given in the question, the question is incomplete. I've attached the Venn diagram of this question below for a better understanding of the question and its solution.

In the Venn diagram we can see that

Costumers who like Cake = 10

Costumers who like Pie = 8

Costumers who like both = 4

So it means that

Total costumers who like Cake = 10 + 4 = 14

Total costumers who like Pie = 8 + 4 = 12

We have to find probabilty that a costumer who likes cakes also likes pie

So

Total costumers who like cake = 14

Costumers out of 14 who also like pie = 4

Probability = (No. of costumers who also like pie) / (Total costumers who like cake)

Probability = 4/14 = 2/7