1. On the basis of standard mortality tables, the probability that Mr. A, the ch

Question

1. On the basis of standard mortality tables, the probability that Mr. A, the chairman of the board of a corporation, would die within the next 15 years is 0.10. The probability that Mr. B, the president of the corporation, would die within the next 15 years is 0.05.

a. What is the probability that both Mr. A and Mr. B will die within the next 15 years?

b. What is the probability that neither Mr. A nor Mr. B will die within the next 15 years?

c. What is the probability that Mr. A will die and Mr. B will live?

Explanation / Answer

a)  probability that both Mr. A and Mr. B will die within the next 15 years =P(A)*P(B) =0.1*0.05 =0.005

b) probability that neither Mr. A nor Mr. B will die within the next 15 years =(1-P(A))*(1-P(B)) =(1-0.1)*(1-0.05)=0.855

c)  probability that Mr. A will die and Mr. B will live =0.1*(1-0.05)=0.095

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