Rules of Probability Distribution

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mutually exclusive or disjoint the events do not occur the the same

Event An event is a subset of a sample space

Formulas of Probability Distribution

Subtraction Rule

Key word: At least one

The subtraction rule also known as the complement rule is when an event is NOT occurring.

P(A) = 1 - P(A')

Multiplication Rule

Key word: And

In multiplication A and B are two dependent events. Multiplication is used when the probability of events A and B occurs are equal. The is event A times event B occurs, which A is given.

P(A and B) = P(A) P(B|A)

Addition Rule

Key word: Or

In addition the event A or event B occurrences are equal to the probability. The formula is event A plus event B minus the probability of both A and B events.

P(A or B)= P(A) + P(B)-P(A and B) or Mutually exclusive or Disjoint: P(A or B)= P(A) + P(B)

Formulas: