Question

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)?

Answer 1

Given:

$P(A\cap B)=\dfrac{3}{4}$

$P(B)=\dfrac{4}{5}$

To find:

The $P(A|B)$.

Solution:

Conditional probability:

$P(A|B)=\dfrac{P(A\cap B)}{P(B)}$

Substituting the given values, we get

$P(A|B)=\dfrac{\dfrac{3}{4}}{\dfrac{4}{5}}$

$P(A|B)=\dfrac{3}{4}\times \dfrac{5}{4}$

$P(A|B)=\dfrac{16}{16}$

Therefore, the correct option is B.