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 …

Question

asked Dec 4, 2022 156k views

1 Answer

Jordan Trana · Answer 1 · 2022-12-08T12:52:09+0000

Answer:

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%