September 2017
Beginner to intermediate
412 pages
8h 55m
English
Content preview from Java Data Analysis
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The independence of probabilistic events
We say that the two events E and F are independent if P(F|E) = P(F). In other words, the occurrence of E has no effect upon the probability of F. From the previous formula, we can see that this definition is equivalent to the condition:
This shows that the definition is symmetric: E is independent of F if and only if F is independent of E.
In our preceding marble example, E = (1st is R) and let F = (2nd is G). Since P(F|E) = 80% and P(F) = 67%, we see that E and F are not independent. Obviously, F depends on E.
For another example, consider the previous Motor Vehicle example. Let E = (driver owns 2 vehicles) ...
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