Question

The probability that a women likes the color blue is 10%. The probability of being a women is 40%.What is the probability that a person likes the color blue given that they are a woman?​

Answer 1

Answer:

The probability that a person likes the color blue given that they are a woman=0.25%

Step-by-step explanation:

We are given that

The probability that a women likes the color blue=10%=$\frac{10}{100}=0.1$

The probability of being a women=40%=$\frac{40}{100}=0.4$

We have to find the probability that a person likes the color blue given that they are a woman.

We know that

Conditional probability formula

$P(A/B)=\frac{P(A\cap B)}{P(B)}$

The probability that a person likes the color blue given that they are a woman

=$\frac{0.1}{0.4}$

$=\frac{1}{4}=0.25$

Hence, the probability that a person likes the color blue given that they are a woman=0.25%