Question

Suppose A and B are independent events. If P(A)=0.4 and P(B)=0.9, what is P(A ∩ B) ? answers- a. .36 b. .06 c. .04 d. .54

Answer 1

The answer would be 0.54

Answer 2

Option: a is the correct answer.

P(A∩B)=0.36

Explanation:

We are given two events A and B such that:

P(A)=0.4

and P(B)=0.9

As we know that when two events A and B are independent then, we have:

`P(A\bigcap B)=P(A)* P(B)`

Hence, we have that:

`P(A\bigcap B)=0.4* 0.9\\\\\\i.e.\\\\\\P(A\bigcap B)=0.36`

Hence, option: a is correct.

a.) 0.36