Tree & List Diagrams

Front

What is a tree diagram?

Back

A tree diagram is a visual representation that shows all possible outcomes of a situation, using branches to illustrate the different choices.

Front

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

Back

Multiply the number of choices at each level of the tree. For example, if there are 3 shirts and 2 pants, the total outcomes are 3 x 2 = 6.

Front

What is the formula for finding the number of combinations of outfits?

Back

The formula is: Total Outfits = (Number of Pants) x (Number of Shirts) x (Number of Shoes).

Front

If Jason has 2 pairs of pants and 3 shirts, how many outfits can he create?

Back

Jason can create 2 x 3 = 6 outfits.

Front

What does each branch in a tree diagram represent?

Back

Each branch represents a choice or outcome in the scenario being analyzed.

Front

How many total outcomes are there when rolling a die (6 outcomes) and flipping a coin (2 outcomes)?

Back

There are 6 x 2 = 12 total outcomes.

Front

What is the purpose of using a tree diagram?

Back

The purpose is to systematically list all possible outcomes and make it easier to visualize combinations.

Front

What is a list diagram?

Back

A list diagram is a written list of all possible outcomes, as opposed to a visual representation like a tree diagram.

Front

If there are 4 types of sandwiches and 3 types of drinks, how many combinations can be made?

Back

There are 4 x 3 = 12 combinations.

Front

What is the difference between a tree diagram and a list diagram?

Back

A tree diagram visually represents outcomes with branches, while a list diagram simply lists all possible outcomes.