Probability and Counting Principles

This video tutorial covers lesson 13.3 on making predictions using theoretical probability. It begins with an introduction to theoretical probability and quantitative predictions, followed by examples involving rolling a number cube and volunteering at an animal shelter. Students are then given practice problems to solve. The lesson continues with qualitative predictions, using examples like selecting socks and gym security codes. The video concludes with additional practice problems and a summary of key concepts.

What is the main focus of theoretical probability in this lesson?

• Learning about historical events

• Understanding qualitative data

• Making predictions using theoretical probability

• Making predictions using experimental data

How many sides does a standard number cube have?

• 4

• 5

• 6

• 8

What is the probability of rolling a three or four on a standard number cube?

• 1/3

• 1/6

• 1/2

• 2/3

If you roll a standard number cube 150 times, how many times would you expect to roll a three or four?

• 75

• 50

• 25

• 100

In the animal shelter example, what is the probability of being assigned to the dog section?

• 1/3

• 1/2

• 1/5

• 1/4

If a volunteer works 24 times, how many times should they expect to be assigned to the dog section?

• 10

• 4

• 6

• 8

How many numbers are less than five on a standard number cube?

• 2

• 3

• 4

• 5

What is the probability of getting heads when flipping a fair coin?

• 2/3

• 1/2

• 1/3

• 1/4

What is the focus of qualitative predictions in theoretical probability?

• Predicting numerical outcomes

• Predicting non-numerical outcomes

• Predicting historical events

• Predicting future trends

How many black socks are left in the drawer in the matching socks example?

• 5

• 8

• 6

• 7