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 80 % of the time. if company b does not bid on a job, the probability that company a will get the job is 0.70 . if company b bids on a job, the probability that company a will get the job is 0.35 .

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?