Refer to Exercise 23. Assume that the probabilities that each of the three scenarios occurs are P(A)=0.20, P(B)=0.30, and P(C)=0.50.
a. Find the probability that scenario A occurs and that the loss is 5%.
b. Find the probability that the loss is 5%.
c. Find the probability that scenario A occurs given that the loss is 5%.
(a) P(A ? L = 5) = P(L = 5|A)P(A) = (0.20)(0.20) = 0.040
(b) P(L = 5) = P(L = 5|A)P(A) + P(L = 5|B)P(B) + P(L = 5|C)P(C)
= (0.20)(0.20) + (0.30)(0.24) + (0.50)(0.1)
= 0.162
(c) 
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