Events A and B are mutually exclusive Suppose event A occurs

Events A and B are mutually exclusive, Suppose event A occurs with probability 0.1 and event B occurs with probability 0.87 a. Compute the probability mat A does not occur or B does not occur (or both). b Compute the probability that either B occurs without A occurring or A and B both occur

Solution

Given that A and B are mutually exclusive.

This implies that A and B do not occur both

or P(AB) =0

a) Prob that A does not occur or B does not occur =

P(A\'UB\') = P({AB)\'} = 0.1+0.87 = 0.97

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b) P(B-A) U P(AB) = P(B)-0 as B-A = B since mutually exclusive

= 0.87

= 0.9+0.13-