Question

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.)

Name: anthony papantonis owner of nauset construction is bidding on two projects a and b the probability that he wins project a is 030 and the probability that he wins project b is 040 winning pro 62534
Uploaded: 2023-03-05T22:53:33-08:00
Duration: 1 min 51 s
Channel: Benjamin Densmore
Description: anthony papantonis owner of nauset construction is bidding on two projects a and b the probability that he wins project a is 030 and the probability that he wins project b is 040 winning pro 62534

          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.)

Added by Zachary P.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Benjamin Densmore

03/05/2023

Step 1

Since the events are independent, P(A ∩ B) = P(A) * P(B). P(A ∪ B) = P(A) + P(B) - P(A) * P(B) P(A ∪ B) = 0.30 + 0.40 - 0.30 * 0.40 P(A ∪ B) = 0.30 + 0.40 - 0.12 P(A ∪ B) = 0.58 So, the probability that he wins project A or project B is 0.58, or 58%. b. Show more…

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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.)