Experimental and Theoretical Probability

The video tutorial covers the basics of probability, distinguishing between theoretical and experimental probability. It includes a class activity involving dice rolling to explore probability concepts, followed by an analysis of the class data. The tutorial also discusses probability scenarios using coin flipping and uses library data to predict future outcomes.

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

• 75%

• 25%

• 100%

• 50%

In a game where you win by rolling a 1 or 2 on a six-sided die, what is the probability of winning?

• 1/6

• 1/3

• 2/3

• 1/2

What is theoretical probability?

• Probability that is always 100%

• Probability based on expected outcomes

• Probability that changes over time

• Probability based on actual experiments

If you roll a die 10 times and win 4 times, what is the experimental probability of winning?

• 0.3

• 0.5

• 0.4

• 0.2

What happens to experimental probability as the number of trials increases?

• It remains constant

• It gets closer to theoretical probability

• It moves further from theoretical probability

• It becomes more random

If a class conducted 90 dice rolls and won 30 times, what was the experimental probability of winning?

• 0.5

• 0.33

• 0.75

• 0.25

What is surprising about flipping a coin 100 times and getting heads every time?

• It is impossible

• It is a common occurrence

• It is highly unlikely

• It is expected

If a librarian records 4 out of 10 patrons checking out fiction books, what is the probability of the next patron checking out a fiction book?

• 0.1

• 0.2

• 0.6

• 0.4

How can the probability of an event be expressed?

• As a fraction

• All of the above

• As a decimal

• As a percentage

What is the probability of getting exactly 50 heads in 100 coin flips?

• Approximately 50%

• Exactly 50%

• Exactly 25%

• Approximately 25%