dinoaneli
Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

According to the general equation for conditional probability, if P(A n B) = 3/4 and P(B) = 4/5 what is P ( A|B)?
A. 35/36
B. 15/16
C. 8/9
D. 24/25

Sagot :

Given:

[tex]P(A\cap B)=\dfrac{3}{4}[/tex]

[tex]P(B)=\dfrac{4}{5}[/tex]

To find:

The [tex]P(A|B)[/tex].

Solution:

Conditional probability:

[tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)}[/tex]

Substituting the given values, we get

[tex]P(A|B)=\dfrac{\dfrac{3}{4}}{\dfrac{4}{5}}[/tex]

[tex]P(A|B)=\dfrac{3}{4}\times \dfrac{5}{4}[/tex]

[tex]P(A|B)=\dfrac{16}{16}[/tex]

Therefore, the correct option is B.

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.