Formulas of Probability
Distribution

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.

Formulas:

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)

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)

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')

Event

An event is a subset of a sample space

mutually exclusive or disjoint

the events do not occur the
the same