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 a sequence of events, 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 outcomes are there when rolling a die and flipping a coin?

Back

There are 12 total outcomes (6 outcomes from the die × 2 outcomes from the coin).

Front

If you have 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes, how many outfits can you create?

Back

You can create 80 outfits (5 × 8 × 2 = 80).

Front

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

Back

You can create 60 different versions (4 × 5 × 3 = 60).

Front

What is the total number of lunch combinations with 6 sandwiches, 3 types of chips, and 5 beverages?

Back

You can create 90 different lunch combinations (6 × 3 × 5 = 90).

Front

What is the total number of outcomes when flipping 2 coins?

Back

There are 4 outcomes: HH, HT, TH, TT.

Front

If a bag comes in 2 colors and 2 sizes, how many combinations are there?

Back

There are 4 combinations (2 colors × 2 sizes = 4).

Front

What is the purpose of a tree diagram in probability?

Back

A tree diagram helps visualize all possible outcomes and their probabilities in a systematic way.

Front

How do you calculate the total outcomes of multiple independent events?

Back

Multiply the number of outcomes for each event together.