A consulting firm submitted a bid for a large research project. The firms management initially felt there was a 50/50 chance of getting the bid. However, the agency to which the bid was submitted subsequently requested additional information on the bid. Experience indicated that on 75% of the successful bids and 40% of the unsuccessful bids the agency requested additional information.

(a) What is the prior probability the bid will be successful? ( i. e prior to receiving the request for additional information)
(b) What is the conditional probability of a request for additional information given that the bid will ultimately be successful?

a) 0.5

b) 0.75

Step-by-step explanation:

a) The prior probability of the bid being successful is 0.5, as stated in the question. 50/50 means half or 0.5 probability.

b) If it is already given that a bid will be successful, the probability a request for additional information is made is also stated within the question. When we state that the bid is guaranteed to be successful, we don't need to consider the 50/50 chance or the 40% unsuccessful bid requests. It is clearly stated that when a successful bid is made, there is a 75% chance the agency requests for additional information. Since that is already a given, the answer we're looking for here is 75% or 0.75 probability.

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.