Fundamental Counting Principle

Front

What is the Fundamental Counting Principle?

Back

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.

Front

How many outcomes are there when rolling two six-sided dice?

Back

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

Front

If a cafeteria has 2 salads, 3 entrees, and 2 beverages, how many meal combinations can be made?

Back

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

Front

What is the probability of rolling a 3 on a die?

Back

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

Front

What is the probability of flipping heads on a coin?

Back

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

Front

If you flip a coin and roll a die, what is the probability of getting heads and a 3?

Back

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

Front

What is the probability of getting all tails when flipping a coin 3 times?

Back

1/8 (1/2 × 1/2 × 1/2 = 1/8).

Front

How do you calculate the total number of outcomes in a probability experiment?

Back

Multiply the number of outcomes for each individual event.

Front

What is a sample space in probability?

Back

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

Front

Define independent events in probability.

Back

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