Probability

Question

two events A and B are such that P(A)=.2 and P(AuB) =.5 

 

given that A and B are mutually exclusive, Find P(B)

Answer 1

Often one attacks a problem of this kind by drawing two circles, one labeled A, the other labeled B.

In this case, since A and B are MUTUALLY EXCLUSIVE, these two circles will not overlap.

P(A) = 0.2 

P(B) = 0.3

P(A∩B) = 0

This satisfies the situation described.