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

Question

asked May 9, 2018 13.1k views

2 Answers

Andrea Golin · Answer 1 · 2018-05-13T01:36:20+0000

Option: a is the correct answer.

P(A∩B)=0.36

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