Probability and Expected Outcomes

The video tutorial covers making predictions using theoretical probability. It explains how to set up proportions and equations to predict outcomes in various scenarios, such as rolling a number cube, volunteering at an animal shelter, and assigning gym security codes. The tutorial also includes practice questions and examples to illustrate the concepts.

What is theoretical probability primarily used for?

• Calculating experimental outcomes

• Making quantitative predictions

• Making qualitative predictions

• Determining past events

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

• 100 times

• 75 times

• 50 times

• 25 times

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

• 1/6

• 1/3

• 1/2

• 2/3

Which method can be used to calculate the expected number of times a specific outcome occurs?

• Division

• Subtraction

• Addition

• Cross-multiplication

Cecilia volunteers at an animal shelter. If she has an equal chance of being assigned to any section, how many times should she expect to be assigned to the dog section out of 24 times?

• 4 times

• 6 times

• 10 times

• 8 times

What is the probability of being assigned to the dog section if there are four sections?

• 1/5

• 1/4

• 1/2

• 1/3

If you roll a standard number cube 250 times, how many times should you expect to roll a number less than five?

• 100 times

• 125 times

• 167 times

• 200 times

When flipping a fair coin 18 times, how many times should you expect it to land on heads?

• 15 times

• 12 times

• 9 times

• 6 times

What is the probability of getting a matching sock if there are 7 black, 8 white, and 5 striped socks?

• 10/20

• 5/20

• 8/20

• 7/20

If Herschel picks a sock without looking, what is the probability that it does not match?

• 5/20

• 10/20

• 13/20

• 7/20