Question

Suppose A and B are dependent events. If p(A/B)=0.25 and p(B)=0.4 what is p(AandB) A. 0.1

B. 0.4
C. 0.45
D. 0.15

Answer 1

The answer for apex is 0.1

Answer 2

P(A and B) is 0.1

Explanation:

Given :
`P(A/B)=0.25 and P(B)=0.4`

To Find : What is P(A and B)

Solution :

We are given that A and B are dependent events

Formula :
`P(A \text{and B})=P(B) * P(A|B)`

`P(A \text{and B})=0.4 * 0.25`

`P(A \text{and B})=0.1`

Hence P(A and B) is 0.1