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

Question

asked Aug 14, 2022 47.7k views

1 Answer

Stebooks · Answer 1 · 2022-08-20T04:51:29+0000

Given:

$P(A\cap B)=(3)/(4)$

P(B)=(4)/(5)

To find:

The
P(A|B) .

Solution:

Conditional probability:

$P(A|B)=(P(A\cap B))/(P(B))$

Substituting the given values, we get

P(A|B)=((3)/(4))/((4)/(5))

P(A|B)=(3)/(4)* (5)/(4)

P(A|B)=(16)/(16)

Therefore, the correct option is B.