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Example 3.15 from Statistics, 3.3 Two Basic Rules of Probability
a. What is the probability that he makes both goals?
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. The problem is asking you to find P(A AND B) = P(B AND A). Since P(B|A) = .90: P(B AND A) = P(B|A) P(A) = (.90)(.65) = .585.
Carlos makes the first and second goals with probability .585.
How did it go?