Suppose that events A1, A2, and A3 form a partition of the sample space S with P(A1) = 0.25, P(A2) = 0.4, andP(A3) = 0.35. If B is an event that is a subset of S and P(B A1) = 0.15, P(B A2) = 0.15, and P(B A3) = 0.21, findP(B). Round to the nearest ten-thousandth when necessary.
A) 0.171
B) 0.0375
C) 0.1683
D) 0.0975

Question

Quizplus · Accepted Answer

P(B) = P(B A1) + P(B A2) + P(B A3) = 0.15 + 0.15 + 0.21 = 0.51

Suppose That Events A1, A2, and A3 Form a Partition