Tree Diagrams & Fundamental Counting Principle

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 like a tree.

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 outfit combinations can be made with 3 tops, 2 pants, and 2 shoes?

Back

12 outfits (3 tops × 2 pants × 2 shoes = 12).

Front

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

Back

The probability of rolling an even number (2, 4, or 6) is 3/6 or 1/2.

Front

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

Back

60 versions (4 trim levels × 5 colors × 3 interiors = 60).

Front

How many different 1-scoop ice cream cones can be ordered with 3 types of cones and 31 flavors?

Back

93 different cones (3 cones × 31 flavors = 93).

Front

What is the total number of outcomes for picking a day of the week and a month of the year?

Back

84 outcomes (7 days × 12 months = 84).

Front

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

Back

12 outfits (4 shirts × 3 pants = 12).

Front

What is the probability of flipping a coin and getting heads?

Back

The probability is 1/2.

Front

How many outcomes are there when rolling two dice?

Back

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