Tree Diagrams & Fundamental Counting Principle Flashcard

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 days are in a week?

Back

7 days.

Front

How many months are in a year?

Back

12 months.

Front

If you can choose 1 day from 7 days and 1 month from 12 months, how many combinations can you make?

Back

7 days × 12 months = 84 combinations.

Front

How many outfit combinations can you create with 3 shirts and 4 pants?

Back

3 shirts × 4 pants = 12 outfit combinations.

Front

What is the total number of outcomes when rolling a die (6 sides) and flipping a coin (2 sides)?

Back

6 outcomes from the die × 2 outcomes from the coin = 12 total outcomes.

Front

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

Back

5 jeans × 8 t-shirts × 2 shoes = 80 outfits.

Front

What is the total number of outcomes when rolling 1 die, spinning a spinner with 4 sections, and flipping a coin?

Back

6 outcomes from the die × 4 outcomes from the spinner × 2 outcomes from the coin = 48 total outcomes.

Front

What is the formula for calculating the total number of outcomes in a sequence of events?

Back

Multiply the number of outcomes for each event together.