Anthony Papantonis, owner of Nauset Construction, is bidding on two projects, A and B. The probability that he wins project A is 0.30 and the probability that he wins project B is 0.40. Winning Project A and winning Project B are independent events.

a.What is the probability that he wins project A or project B? (Round your answer to 2 decimal places.)
b.What is the probability that he does not win either project? (Round your answer to 2 decimal places.)

(a) 0.55

(b) 0.45

Step-by-step explanation:

We are given that Anthony Papantonis, owner of Nauset Construction, is bidding on two projects, A and B.

Probability that he wins project A, P(A) = 0.30

Probability that he wins project B, P(B) = 0.40

Also, winning Project A and winning Project B are independent events which means that P(A B) = P(A) * P(B)

(a) Probability that he wins project A or project B is given by P(A B) ;

      P(A B) = P(A) + P(B) - P(A B)

                     = 0.30 + 0.40 - P(A) * P(B)

                     = 0.70 - (0.30 * 0.40) = 0.70 - 0.12 = 0.55

(b) Probability that he does not win either project = 1 - Probability that he

                                                                                      wins at least one project

                     =  1 - P(A B) = 1 - 0.55 = 0.45 .

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Step-by-step explanation:

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