Probability Concepts and Tree Diagrams

Miss Silver introduces probability, focusing on tree diagrams and organized lists for compound events. She explains the fundamental counting principle and demonstrates how to calculate probabilities using these methods. Examples include choosing shirts and pants, fish tanks, greeting cards, and temporary passwords. The lesson concludes with a detailed look at tree diagrams, emphasizing their use in visualizing outcomes and calculating probabilities.

What is a compound event in probability?

• An event with a single outcome

• An event with two or more outcomes

• An event with no possible outcomes

• An event that cannot occur

How do you calculate the total number of outcomes using the fundamental counting principle?

• Add the number of ways each event can occur

• Subtract the number of ways each event can occur

• Multiply the number of ways each event can occur

• Divide the number of ways each event can occur

In the aquarium example, how many total fish tanks can be made?

• 4

• 6

• 8

• 10

What is the purpose of an organized list in probability?

• To calculate the probability of a single event

• To visually represent all possible combinations

• To show the total number of outcomes

• To eliminate impossible outcomes

How many different temporary passwords can be created in the example given?

• 12

• 21

• 15

• 18

What does a tree diagram resemble?

• A straight line

• A circle

• A tree with branches

• A square

How many total outcomes are there when flipping a coin three times?

• 10

• 8

• 6

• 4

What is the probability of getting heads, tails, tails in that order when flipping a coin three times?

• 1/8

• 1/2

• 1/4

• 1/6

When drawing a tree diagram, what is the first step?

• Start with the first set of options

• List all possible events

• Draw the final outcomes

• Calculate probabilities

How many total options are there in the cell phone example using the tree diagram?

• 12

• 15

• 18

• 21