Two firms V and W consider bidding on a road-building job, which may or may not be awarded depending on the amounts of the bids. Firm V submits a bid and the probability is 0.8 that it will get the job provided firm W does not bid. The probability is 0.7 that W will be bid, and if it does, the probability that V will get the job is only 0.4 a) What is the probability that V will get the job? b) If V gets the job, what is the probability that W did not bid?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Plzz solve a, b and explain
Two firms V and W consider bidding on a road-building job, which may or
may not be awarded depending on the amounts of the bids. Firm V submits a
bid and the probability is 0.8 that it will get the job provided firm W does not
bid. The probability is 0.7 that W will be bid, and if it does, the probability that
V will get the job is only 0.4
a) What is the probability that V will get the job?
b) If V gets the job, what is the probability that W did not bid?
Transcribed Image Text:Two firms V and W consider bidding on a road-building job, which may or may not be awarded depending on the amounts of the bids. Firm V submits a bid and the probability is 0.8 that it will get the job provided firm W does not bid. The probability is 0.7 that W will be bid, and if it does, the probability that V will get the job is only 0.4 a) What is the probability that V will get the job? b) If V gets the job, what is the probability that W did not bid?
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