If in an experiment is conducted, one and only one of the three mutually exclusive events A1, A2, and A3 can occur with these probabilities. P(A1)=0.2
P (A2)=0.5 and P(A3)=0.3.
The probability of a fourth event B occurring, given that events A1, A2, or A3 occurs are P(B|A1)=0.2 P(B|A2)=0.1 P(B|A3)=0.3
(i). Find P(B). (2.5 points)
(ii). Find P(A1|B). (2.5 points)
(iii). Find P(A2|B). (2.5 points)
(iv). Find P(A3|B). (2.5 points)