Consider the events $A$ and $B$, where $P(A)=\frac25$, $P(B^{\prime})=\frac14$ and \(P(

Question

Consider the events $A$ and $B$, where $P(A)=\frac25$, $P(B^{\prime})=\frac14$ and $P(A\cup B)=\frac78$. Write down $P(B)$. Find $P(A ∩ B)$. Find $P(A | B)$. [6]

Accepted Answer

$P(A\cap B)=\frac25+\frac34-\frac78=\frac{11}{40}$, so $P(A\mid B)=\frac{11/40}{3/4}=\frac{11}{30}$.

Use complements, unions, intersections and conditional probability for two events.

Use complements, unions, intersections and conditional probability for two events.

Video Solution:

Solution:

Solution locked