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%=[tex]\frac{10}{100}=0.1[/tex]
The probability of being a women=40%=[tex]\frac{40}{100}=0.4[/tex]
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
[tex]P(A/B)=\frac{P(A\cap B)}{P(B)}[/tex]
The probability that a person likes the color blue given that they are a woman
=[tex]\frac{0.1}{0.4}[/tex]
[tex]=\frac{1}{4}=0.25[/tex]
Hence, the probability that a person likes the color blue given that they are a woman=0.25%
