Acme Builders has bid on two large construction projects The

Acme Builders has bid on two large construction projects. The company president believes that the probability of winning the first project is 0.13, the probability of winning the second project is 0.19, and the probability of winning both is 0.08.

(1) Find the probability that Acme Builders wins at least one of the two projects (round your answer to 2 decimal places)

(2)Find the probability that Acme Builder wins the second project if they have already won the first project (round your answer to 2 decimal places)

Solution

:et

A = win first
B = win second

1)

P(winning at least 1) = P(A U B) = P(A) + P(B) - P(A n B)

= 0.13 + 0.19 - 0.08

= 0.24 [ANSWER]

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2)

P(B|A) = P(A n B) / P(A) = 0.08/0.13 = 0.615384615 = 0.62 [ANSWER]