Probability Fundamentals

Probability of an event

Suppose is an event of the sample space .

Can be in the range .

If and are mutually exclusive events, then .

Addition Law

Suppose and are two events.

Bayes’ Theorem

Suppose and are two events.

Can only be applied when:

• The sample space is partitioned into a set of mutually exclusive events: .
• is to be calculated
• At least one of the two sets of possibilities should be given:
  • is given
  • are given

Multiplication theorem