Tree Diagrams and Fundamental Counting Principle 11.25.24

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 × n ways.

Front

How many outfits can be made with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

Back

80 outfits (5 x 8 x 2 = 80).

Front

If a die is rolled and a coin is flipped, how many total outcomes are there?

Back

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

Front

How many different versions of a car model can be created with 4 trim levels, 5 colors, and 3 interiors?

Back

60 versions (4 x 5 x 3 = 60).

Front

How many different 1-topping pizzas can be made with 14 toppings and 3 sizes?

Back

42 different 1-topping pizzas (3 x 14 = 42).

Front

What is the purpose of a tree diagram in probability?

Back

To visualize and list all possible outcomes of an event.

Front

If you have 3 shirts and 4 pairs of pants, how many outfit combinations can you create?

Back

12 combinations (3 x 4 = 12).

Front

What is an example of using the Fundamental Counting Principle?

Back

Choosing 2 different flavors of ice cream from 5 available flavors can be done in 5 x 4 = 20 ways.

Front

What is the total number of outcomes when rolling two dice?

Back

36 outcomes (6 sides on the first die x 6 sides on the second die = 36).