Suppose that events A1 and A2 form a partition of the sample space S with P(A1) = 0.65 and P(A2) = 0.35. If Bis an event that is a subset of S and P(B A1) = 0.11 and P(B A2) = 0.23, find P(B). Round to the nearestten-thousandth when necessary.
A) 0.152
B) 0.0715
C) 0.17
D) 0.0805

Question

Quizplus · Accepted Answer

P(B) = P(B|A1)P(A1) + P(B|A2)P(A2) = (0.11)(0.65) + (0.23)(0.35) = 0.0715 + 0.0805 = 0.152.

Suppose That Events A1 and A2 Form a Partition of the Sample