hafizabdullah2612
Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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?​

Sagot :

lublana

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%

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.