ARTIFICIAL INTELLIGENCE - USE BAYES THEOREM

A consulting firm submitted a bid for a large consulting contract. The firms management felt id had a 50-50 change of landing the project. However, the agency to which the bid was submitted subsequently asked for additional information. Past experience indicates that that for 75% of successful bids and 40% of unsuccessful bids the agency asked for additional information.

b. What is the conditional probability of a request for additional information given that the bid will be ultimately successful.