Compound Events and the Fundamental Counting Principle

The video tutorial covers the use of tree diagrams, tables, and the fundamental counting principle to determine the number of possible outcomes and calculate probabilities of compound events. It includes practical examples such as pizza combinations, coin flips, and dice rolls to illustrate these concepts. The tutorial also explains how to use the fundamental counting principle for more complex scenarios, like choosing ice cream combinations.

What is a sample space in probability?

• A method to organize data

• A type of probability experiment

• A list of all possible outcomes of an event

• A tool to calculate probabilities

In the pizza example, how many different pizza combinations can be made?

• 12

• 6

• 9

• 15

Why might a tree diagram become confusing?

• It only works for one event

• It can have too many branches

• It is too simple

• It requires complex calculations

What is the probability of choosing a stuffed crust cheeseburger pizza?

• 1 out of 8

• 1 out of 6

• 1 out of 10

• 1 out of 12

How many different outcomes are there when flipping a coin and rolling a die?

• 12

• 6

• 10

• 8

What is the probability of rolling an even number and flipping tails?

• 1 in 5

• 1 in 4

• 1 in 3

• 1 in 2

What does the fundamental counting principle help calculate?

• The average outcome of an event

• The total number of outcomes for multiple events

• The variance of outcomes

• The probability of a single event

If you have 4 types of cones and 7 flavors of ice cream, how many combinations can you make?

• 21

• 42

• 35

• 28

How many different combinations are possible with 4 cones, 7 flavors, and 6 toppings?

• 126

• 210

• 168

• 84

What is an example of using the fundamental counting principle in everyday life?

• Choosing a single ice cream flavor

• Selecting an outfit from multiple clothing options

• Rolling a single die

• Calculating the probability of rain