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
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 A ∪ B is the sum of the probabilities P(A) and P(B) minus that of ...