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Physical Mathematics by Kevin Cahill

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13

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Probability and statistics

13.1 Probability and Thomas Bayes

The probability P(A) of an outcome in a set A is the sum of the probabilities Pj of all the different (mutually exclusive) outcomes j in A

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(13.1)

For instance, if one throws two fair dice, then the probability that the sum is 2 is P(1, 1) = 1/36, while the probability that the sum is 3 is P(1, 2) + P(2, 1) = 1/18.

If A and B are two sets of possible outcomes, then the probability of an outcome in the union AB is the sum of the probabilities P(A) and P(B) minus that of ...

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