Question

A and B are independent events. Find P(A and B).

P(A) = 2. P(B) = 3
P(A and B)=||
(Round to three decimal places as needed.)

Answer 1

If A and B are independent events then P(A and B) = 6.

Solution:

If A and B are two events and A and B are independent, then the probability that events A and B both occur is:

P(A and B) = P(A) x P(B) ------ (1)

From question given that

P(A) = 2 and P(B) = 3

On substituting the value of P(A) =2 and P(B) = 3 in equation (1),

P(A and B) = 2 x 3

P(A and B) = 6

Hence If A and B are independent events then P(A and B) = 6.