As a company manager for Claimstat Corporation there is a 0.40 probability that you will be promoted this year. There is a 0.72 probability that you will get a promotion, a raise, or both. The probability of getting a promotion and a raise is 0.25

a. If you get a promotion, what is the probability that you will also get a raise?
b. What is the probability that you will get a raise?
c. Are getting a raise and being promoted independent events? Explain using probabilities.
d. Are these two events mutually exclusive? Explain using probabilities.


a. 0.625
b. 0.57
c. No, because P(R) ? P(R ? P)
d. No, because P(R ? P) ? 0

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