Tree Diagrams and Fundamental Counting Principle

Front

What is a tree diagram?

Back

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

Front

What is the Fundamental Counting Principle?

Back

The Fundamental Counting Principle states that if one event can occur in 'm' ways and a second event can occur independently in 'n' ways, then the two events can occur in m x n ways.

Front

How many different license plates can be made with 3 letters followed by 3 numbers without repetition?

Back

26 x 25 x 24 x 10 x 9 x 8 = 11232000.

Front

If a store sells 5 types of jeans, 8 types of t-shirts, and 2 types of shoes, how many outfit combinations can be made?

Back

5 x 8 x 2 = 80 outfits.

Front

What is the total number of outcomes when flipping a coin twice?

Back

2 x 2 = 4 outcomes: HH, HT, TH, TT.

Front

How do you calculate the total number of outcomes for rolling a die and flipping a coin?

Back

6 (for the die) x 2 (for the coin) = 12 total outcomes.

Front

What is an example of a situation where a tree diagram would be useful?

Back

A tree diagram is useful for showing all possible combinations of pizza toppings.

Front

What does it mean for events to be independent in probability?

Back

Independent events are those whose outcomes do not affect each other.

Front

How many different combinations can be made with 3 colors and 2 sizes?

Back

3 x 2 = 6 combinations.

Front

What is the purpose of using a tree diagram in problem-solving?

Back

To visualize and organize all possible outcomes systematically.