Probability

See also: numbers, Permutations and Combinations

Complement of an event

The complement of an event A is the set of all outcomes that is not A. The complement of event A is expressed as A (A bar).

The probability of an event and its complement always add up to 1 (An event is either occur or it doesn't occur).

P(A) + P(A) = 1
P(A) = 1 - P(A)

Examples:
When tossing a fair six-sided die, the probability of not getting a 5 would be

P(5) = 1 - P(5)

P(5) = 1 - 1/6

P(5) = 5/6

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Independent and Mutually exclusive events

See also: numbers, Permutations and Combinations