nstruction company has submitted bids on two separate state contracts, A and B.

Question

nstruction company has submitted bids on two separate state contracts, A and B. The company feels that it has a 60% chance of winning contract A, and a 50% c winning contract B. Furthermore, the company believes that it has an 80% chance of winning contractdifit wins contract. (12%) a. What is the probability that the company will win both contracts? b. What is the probability that the company will win at least one of the two contracts? c. If the company wins contract B, what is the probability that it will not win contract A? d. What is the probability that the company will win neither contract? hance of

Explanation / Answer

2) probability that company wins both contract =P(AnB) =P(B)*P(A|B) =0.5*0.80=0.40

b) probability of winning at least =0.6+0.5-0.40 =0.7

c) probability of not winning contract A given wins contract B =P(Ac|B) =1-P(A|B) =1-0.8 =0.20

d) probability that company wis neither =1-P(AnB) =1-0.7=0.3

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