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Example 3.17 from Statistics, 3.3 Two Basic Rules of Probability
Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.
a. P(M AND S) = P(M|S)P(S) = .25(.65) = .1625
b. P(M OR S) = P(M) + P(S) − P(M AND S) = .2 + .65 − .1625 = .6875
c. No, P(M|S) = .25 and P(M) = .2.
d. No, P(M AND S) = .1625.
How did it go?