fundamental counting principle and tree diagrams

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

What is a tree diagram?

Back

A tree diagram is a visual representation that shows all possible outcomes of a sequence of events, branching out from a starting point.

Front

How do you calculate the total number of outcomes using a tree diagram?

Back

Count the number of branches in the tree diagram. Each branch represents a possible outcome.

Front

What is the probability of an event?

Back

Probability is a measure of how likely an event is to occur, calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

If a die has 6 sides, what is the probability of rolling a 3?

Back

1/6, because there is one favorable outcome (rolling a 3) out of 6 possible outcomes.

Front

What is the probability of rolling an even number on a die?

Back

3/6 or 1/2, because there are three even numbers (2, 4, 6) out of six possible outcomes.

Front

What are the possible outcomes when flipping a coin?

Back

The possible outcomes are heads or tails.

Front

If you roll a die and flip a coin, how many total outcomes are there?

Back

There are 12 total outcomes (6 outcomes from the die × 2 outcomes from the coin).

Front

What is the probability of rolling a number less than 4 on a die?

Back

3/6 or 1/2, because the numbers less than 4 are 1, 2, and 3.

Front

What is the probability of getting plain crust with ham on a pizza if there are 10 total combinations?

Back

1/10, because there is one favorable outcome (plain crust with ham) out of 10 possible combinations.