SOLUTION: Exercise 1: A construction company has bid on two contracts. The probability of winning contract A is 30%. If the company wins contract A, then the probability of winning contrac

Question 1045669: Exercise 1: A construction company has bid on two contracts. The probability of winning
contract A is 30%. If the company wins contract A, then the probability of winning
contract B is 40%. If the company loses contract A, then the probability of winning
contract B decreases to 20%. Find the probability of the following events:
a. Winning both contracts.
b. Winning exactly one contract.
c. Winning at least one contract.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
win A--0.3--prob win B is 0.4, prob lose B is 0.6
lose A--0.7--prob win B is 0.2
Probability of winning both is 0.12
probability of winning exactly one is 0.18 (topI+0.14 (bottom)=0.32
probability of winning at least one is 1- probability of losing both, which is 1-[0.7*0.8]=0.44, which is the sum of winning exactly one and winning both.

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