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A contractor is bidding on two construction jobs. they estimate the probability that he will get...

A contractor is bidding on two construction jobs. they estimate the probability that he will get contract A at 0.6 and the probability of getting contract B at 0.5. They also put the chance at getting both contracts at 0.2

a) Create a labeled venn diagram for this situation?

b) What is the probability that they get contract A or B

c) What is the probability they get contract A given that they get contract B?

d) Based on the probabilities, are getting contract A and getting contract B independent events?

PLEASE SHOW ALL WORK! Thanks!!

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