Question

A group of children were asked if they like eating cupcakes or brownies.

The table shows the probabilities of the results.

Like cupcakes Do not like cupcakes Total
Like brownies 0.15 0.15 0.3
Do not like brownies 0.35 0.35 0.7
Total 0.5 0.5 1
What is the probability that a child likes brownies given that he likes cupcakes?




.70

.43

.50

.30

Answer 1

It’s 0.30

Explanation:

I took the test bro

Answer 2

The probability is 0.3

Using the conditional probability concept :

• P(A|B) = P(AnB)/P(B)

The pprobability of liking brownies given that the person likes cupcake is :

P(like brownies | like cupcakes) = P(like brownies n Like cupcakes ) / P(like cupcakes)

P(like brownies | like cupcakes) = 0.15/0.5 = 0.3

Hence, the probability is 0.3