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The Complete Idiot's Guide to Statistics, 2nd Edition by Robert Donnelly

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Conditional Probability

We define conditional probability as the probability of Event A knowing that Event B has already occurred. To demonstrate this concept, consider this example.
Debbie is an avid tennis player, and we enjoy playing matches against each other. We do, however, have one difference of opinion on the court. Debbie likes to have a nice long warm-up session at the start, where we hit the ball back and forth and back and forth and back and forth. All during this time, a little voice in my head is saying, “Who’s winning?” and “What’s the score?” My ideal warm-up is to bend at the waist to tie my sneakers and to adjust my shorts. Each tennis match becomes a test of my manhood and the “warm-up” has nothing to do with “the thrill ...

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