Question

A and B are two events.

Given that P(A)=0.25 , P(B)=0.2 , and P(A and B)=0.04 .

Drag and drop the answers into the boxes.

Answer 1

Not independent.

Explanation:

Given that P(A)=0.25 , P(B)=0.2 , and P(A and B)=0.04

To check whether A and B are independent.

Two events are independent if

P(A/B) = P(A) or P(B/A) = P(B) or P(AB) = P(A) P(B)

if any one of the above three is true also, the two events would be independent.

Let us find out first one

P(A/B ) = P(AB)/P(B) (as per conditional probability formula)

= 0.04/0.2=0.2

But P(A) = 0.25 and not equals P(A/B)

Hence we can conclude that A and B are not independent

because P(A/B) not equals P(A)