Question

Events A and B are mutually exclusive. Suppose event A occurs with probability 0.66 and event B occurs with probability 0.28.

a. Compute the probability that A occurs or B does not occur (or both).

b. Compute the probablity that neither the event A nor the event B occurs.

Answer 1

Plevent A -0-66 Plevent & -0.28 2- of mutual exclusive events A, B are for A, B them P (ANB)0 al So P(A) +PC + p(neither for El PCA) - PUB) P(neither for B) 0-66-0.28 -1- (ACOB 984) 20-06 from the venn Venn diagram B AP(B) = 0.28 P(A)=0.66 PC neither A vb)=0.04 @ that o occurs or B does not Probability Occur from the Venn diagram, the probability to the Sum of PCA + Plneither Aon equals CS B Scanned with CamScanner

ΟΥ does not P(AUB) B P( A occurs our A or B P(A) + P( neither P(A) PLAC UB) t 0.66 +0.06 PLAU B) = 0.74 PLA occurs or B does not occur) =0-12 the event Boccurs) ΥΛΟΥ © Plmeither event A PCA CUBE) ale PCA) -PCB) 1-0-66-0-28 P(A CUB) 20.06 CS Scanned with CamScanner