Fundamental Counting Principle

The Fundamental Counting Principle states that if there are 'm' ways to do one thing and 'n' ways to do another, then there are m × n ways to do both.

36 outcomes (6 sides on the first die × 6 sides on the second die = 36).

12 combinations (2 salads × 3 entrees × 2 beverages = 12).

1/6 (There is 1 favorable outcome and 6 possible outcomes).

1/2 (There are 2 possible outcomes: heads or tails).

1/12 (1/2 for heads × 1/6 for rolling a 3 = 1/12).

1/8 (1/2 × 1/2 × 1/2 = 1/8).

Multiply the number of outcomes for each individual event.

A sample space is the set of all possible outcomes of a probability experiment.

Independent events are events where the outcome of one event does not affect the outcome of another.