Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Consolidated Builders has bid on two large construction projects. Define the eve

ID: 3134845 • Letter: C

Question

Consolidated Builders has bid on two large construction projects. Define the events: A=winning the first contract, and B= winning the second contract. Given that P(A)=.55, P(B)=050, and P(A and B)=.20 Find the probability of the event that Consolidated will win contract A or B. You hear that Consolidated won the first contract. Given this information, what is the conditional probability that Consolidated will win the second contract? What is the orobabilitv that Consolidated did not win anv contract?

Explanation / Answer

a)

P(A or B) = P(A) + P(B) - P(A AND B) = 0.55+0.50-0.20 = 0.85

b)

P(B|A) = P(A and B)/P(A) = 0.20/0.55 = 0.3636

c)

P(consolidated did not win any contract) = 1 - P(A or B) = 1- 0.85 = 0.15

Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
Chat Now And Get Quote