Assume that A and B are independent events with P(A)= 0.40 and P(B)= 0.30.The probability that both events will occur simultaneously is:
A) 0.10.
B) 0.12.
C) 0.70.
D) 0.75.
E) 1.0.

Question

Quizplus · Accepted Answer

To find the probability of both events occurring simultaneously (i.e., the probability of the intersection of A and B), we use the formula P(A and B) = P(A) x P(B) because A and B are stated to be independent. 
Thus P(A and B) = 0.40 x 0.30 = 0.12. 
Therefore, the answer is B.

Assume That a and B Are Independent Events with P(A)=