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

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Independent Versus Dependent Events

Events A and B are said to be independent of each other if the occurrence of Event B has no effect on the probability of Event A. Using conditional probability, Events A and B are independent of one another if:
166
If Events A and B are not independent of one another, then they are said to be dependent events.
 
In the tennis example, Events A and B are dependent because the probability of Debbie winning depends on whether the warm-up is more or less than 10 minutes. We can also demonstrate this by observing that:
and
These probabilities tell us that overall, Debbie wins 45 percent of the matches. ...

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