3. As a company manager for Claimstat Corporation there is a 0.40 probability that you will be promoted this year. There is a 0.7 probability that you will get a promotion, a raise, or both. The probability of getting a promotion and a raise is 0.3.

(1) If you get a promotion, what is the probability that you will also get a raise?

(2) Are getting a raise and being promoted independent events? Explain using probabilities.

(3) Are these two events mutually exclusive? Explain using probabilities.