tree diagrams and counting principle

Front

What is the Fundamental Counting Principle?

Back

The Fundamental Counting Principle states that if there are 'm' ways to do one thing and 'n' ways to do another, then there are m × n ways to perform both actions.

Front

How do you apply the Fundamental Counting Principle?

Back

You multiply the number of options in each category to find the total number of outcomes.

Front

What is a tree diagram?

Back

A tree diagram is a visual representation that shows all possible outcomes of an event using branches.

Front

If you have 4 ice cream flavors, 3 scoop options, 4 toppings, and 2 cone types, how many total combinations can you create?

Back

96 combinations (4 × 3 × 4 × 2 = 96).

Front

What is the sample space for flipping two coins?

Back

The sample space is {HH, HT, TH, TT}.

Front

How many outcomes are there if you choose 3 activities from 3 options?

Back

There are 27 outcomes (3 × 3 × 3 = 27).

Front

What is the sample space for rolling a die?

Back

The sample space is {1, 2, 3, 4, 5, 6}.

Front

If you have 2 shirts and 3 pants, how many outfits can you create?

Back

You can create 6 outfits (2 × 3 = 6).

Front

What is the total number of outcomes when choosing 2 toppings from 4 options?

Back

There are 16 outcomes (2^4 = 16).

Front

What does it mean to find the total outcomes using a tree diagram?

Back

It means to visually map out all possible combinations of choices to see all outcomes.