SOLUTION: 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 b

Algebra ->  Probability-and-statistics -> SOLUTION: 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 b      Log On


   

Question 1172448: 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 60% of the time. If company B does not bid on a​ job, the probability that company A will get the job is 50% If company B bids on a​ job, the probability that company A will get the job is 0.25
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?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
====B bids======B doesn't bid====Total
A+ *--15-----------20-----------------35
A- *---45----------20-----------------65
Total==60=======40============100
If company A gets the job (35) the probability B did not bid is 20/35 or 4/7
The probability A will get the job is 35/100 or 7/20.