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

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

Explanation:

We are given that

The probability that a women likes the color blue=10%=
`(10)/(100)=0.1`

The probability of being a women=40%=
`(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)=(P(A\cap B))/(P(B))`

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

=
`(0.1)/(0.4)`

`=(1)/(4)=0.25`

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