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Construction company A is determining whether it should submit a bid for a new shopping center. I...

Construction company A is determining whether it should submit a bid for a new shopping center. In the​ past, their main​ competitor, construction company​ B, has submitted bids 90 % of the time. If company B does not bid on a​ job, the probability that company A will get the job is 0.20. If company B bids on a​ job, the probability that company A will get the job is 0.15.

a. If company A gets the​ job, what is the probability that company B did not​ bid?

b. What is the probability that company A will get the​ job?

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