Exploring Compound Probability and Sample Space

What is the purpose of calculating theoretical probability?

• To predict outcomes without conducting experiments

• To conduct experiments more efficiently

• To replace experimental probability entirely

• To make experiments unnecessary

What does a sample space represent in probability?

• The total number of experiments conducted

• The desired outcome of an experiment

• The total number of successful outcomes

• All possible outcomes of an experiment

Which method is best suited for organizing a simple sample space?

• List

• Tree diagram

• Table

• None of the above

Which method cannot effectively show three different events in a sample space?

• List

• All can show effectively

• Table

• Tree diagram

Why might a tree diagram be preferred for organizing complex sample spaces?

• It's visually appealing

• It ensures no outcomes are missed

• It requires less space

• It's easier to draw

How many total meal options are available if there are three main courses, two side dishes, and three drinks?

• 6

• 8

• 18

• 24

How can the total number of outcomes in a large sample space be calculated?

• By listing all outcomes

• By guessing

• By multiplying the options for each event

• By using a tree diagram

In the context of a submarine sandwich shop, why is it impractical to list all possible sandwiches?

• Because there are too few options

• Because it's too easy

• Because it's too time-consuming

• Because it doesn't help in understanding probability

What method is used to calculate the total number of possible sandwiches in the submarine sandwich shop example?

• Division

• Addition

• Subtraction

• Multiplication

What is the probability of Andre getting a sandwich he likes if he's indifferent to bread and cheese type?

• 1%

• 10%

• 50%

• 100%