Tree Diagrams and Sample Spaces

Front

What is a tree diagram?

Back

A tree diagram is another way to show all possible outcomes of an event.

Front

How many possible outcomes are there if you flip 3 coins?

Back

There are 8 possible outcomes when flipping 3 coins.

Front

What is a sample space?

Back

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

Front

If a cafeteria serves 3 types of sandwiches and 2 types of drinks, how many combinations can you make?

Back

You can make 6 combinations of sandwiches and drinks.

Front

What does each branch in a tree diagram represent?

Back

Each branch in a tree diagram represents a possible outcome.

Front

How do you calculate the total number of outcomes in a situation with multiple choices?

Back

Multiply the number of choices for each category together.

Front

What is the sample space for flipping a coin?

Back

The sample space for flipping a coin is {Heads, Tails}.

Front

How many total outfit options are represented if there are 3 shirts and 4 pants?

Back

There are 12 total outfit options.

Front

What is the total number of outcomes for picking a cat or dog and choosing the colors black, brown, or spotted?

Back

There are 6 total outcomes.

Front

What is the formula for finding the number of outcomes in a tree diagram?

Back

The formula is the product of the number of choices at each level.