9-3 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 different outcomes are there for a car license plate with 3 letters and 3 digits, where letters can be reused and digits can be reused?

Back

17,576,000 outcomes, calculated as 26 × 26 × 26 × 10 × 10 × 10.

Front

What is the probability of flipping a heads and rolling a 3 with a coin and a die?

Back

The probability is 1/12, calculated as (1/2 for heads) × (1/6 for rolling a 3).

Front

How many outcomes are there when rolling 2 dice and flipping 3 coins?

Back

216 outcomes, calculated as 6 × 6 × 2 × 2 × 2.

Front

What is the probability of rolling an EVEN number on the first die, an ODD number on the second die, and all HEADS for three coins?

Back

Front

If I flip 4 different 2-sided coins, how many different outcomes are there?

Back

16 outcomes, calculated as 2 × 2 × 2 × 2.

Front

What is the total number of outcomes when choosing a car brand (3 options), color (5 options), and transmission (2 options)?

Back

30 outcomes, calculated as 3 × 5 × 2.

Front

What is the probability of buying a Toyota in Blue or Red with Manual drive?

Back

Front

Define 'outcome' in the context of probability.

Back

An outcome is a possible result of a probability experiment.

Front

What is a sample space?

Back

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