Olive Construction Company is determining whether it should submit a bid for a new shopping center. In the past, Olive's main competitor, Base Construction Company, has submitted bids 70% of the time. If Base Construction Company does not bid on a job, the probability that Olive Construction Company will get the job is 0.50. If Base Construction Company bids on a job, the probability that Olive Construction Company will get the job is 0.25.
a. If Olive Construction Company gets the job, what is the probability that Base Construction Company did not bid?
b. What is the probability that Olive Construction Company will get the job?