Dec 11 B2 BW 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 do both.

Front

How do you apply the Fundamental Counting Principle to multiple categories?

Back

You multiply the number of options in each category together.

Front

What is a Tree Diagram?

Back

A Tree Diagram is a visual representation that shows all possible outcomes of a sequence of events, using branches to represent different choices.

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 3 brands of cars, 5 colors, and 2 types of transmission, how many different car combinations can you create?

Back

30 combinations (3 × 5 × 2 = 30).

Front

What does each branch in a Tree Diagram represent?

Back

Each branch represents a possible outcome or choice in a sequence of events.

Front

What is the total number of outcomes for two events if the first event has 4 outcomes and the second event has 3 outcomes?

Back

12 outcomes (4 × 3 = 12).

Front

What is the purpose of using a Tree Diagram?

Back

To systematically list and visualize all possible outcomes of a series of events.

Front

How do you determine the total number of outcomes in a scenario with multiple choices?

Back

By multiplying the number of choices available at each decision point.

Front

What is an example of using the Fundamental Counting Principle in real life?

Back

Choosing an outfit: If you have 3 shirts and 4 pants, you can create 12 different outfits (3 × 4 = 12).