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counting and probability intermediate
Problem
If the famous baseball player for the San Francisco Midgets, Larry Ponds, has a chance of earning a walk on each plate appearance, what is the probability that he will earn a walk exactly once in his next two plate appearances? Express your answer as a common fraction.
Solution
If he earns a walk on exactly one of his next two plate appearances, then one of his at-bats must be a walk and the other must not. The walk and non-walk could come in either order, so the probability is .
Final answer
\frac{12}{25}