Probability Concepts and Applications

This video tutorial covers basic probability concepts, including how to calculate probability using dice and coins. It explains the difference between theoretical and empirical probability, and provides practical examples to illustrate these concepts. The tutorial also discusses probability notation and outcomes, helping students understand how to express probability in different forms.

What is the range of values that probability can take?

• 0 to 100

• 1 to 100

• 0 to 10

• 0 to 1

Which of the following words is used to describe a probability of 0?

• Certain

• Likely

• Impossible

• Even chance

If a die has six sides, what is the probability of rolling a 3?

• 1/3

• 1/6

• 1/2

• 1/4

How do you convert a probability of 1/6 into a percentage?

• Divide by 10

• Divide by 100

• Multiply by 100

• Multiply by 10

What is the expected number of times a 4 will appear if a die is rolled 300 times?

• 30

• 50

• 60

• 70

What term is used to describe the different possible results of a probability experiment?

• Outcome

• Event

• Chance

• Possibility

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

• 1

• 1/3

• 1/2

• 1/4

How is theoretical probability different from empirical probability?

• Theoretical is what should happen, empirical is what actually happens

• Theoretical is based on experiments, empirical is not

• Theoretical is based on past data, empirical is not

• Theoretical is always accurate, empirical is not

If a die is rolled 100 times, and the number 4 appears 20 times, what is the empirical probability of rolling a 4?

• 0.8

• 0.6

• 0.4

• 0.2

What is the probability of drawing an 8 from a hand of 5 cards, where 4 are eights?

• 1/5

• 2/5

• 4/5

• 3/5