Exploring Experimental and Theoretical Probability

What is the main focus of today's lesson on probability?

• Learning about calculus

• Comparing experimental and theoretical probability

• Studying historical mathematicians

• Understanding algebraic expressions

What does experimental probability measure?

• The number of experiments conducted

• The percentage of a die showing a six

• The likelihood of an event based on past data

• The theoretical outcome of an event

How is relative frequency calculated in the dice experiment?

• By dividing the number of trials by the number of desired outcomes

• By dividing the number of desired outcomes by the total number of trials

• By multiplying the number of trials by the number of outcomes

• By adding the number of all outcomes

What is the theoretical probability of rolling a six with a fair die?

• 12.5%

• 50%

• 25%

• 16.7%

How does experimental probability compare to theoretical probability when more trials are conducted?

• It becomes less similar

• It remains constant

• It becomes more similar

• It becomes unpredictable

What was the experimental probability of rolling an even number in the 500 trials?

• 60%

• 25%

• 75%

• 50.6%

If it rained 5 days in July, how many days would you expect it to rain in August based on the pattern?

• 5 days

• 20 days

• 15 days

• 10 days

What is the theoretical probability of flipping a coin and it landing on heads?

• 25%

• 50%

• 75%

• 100%

What would be the expected outcome of rolling an odd number out of 5000 rolls?

• 1000 times

• 4000 times

• 2500 times

• 3000 times

What is the main difference between experimental and theoretical probability?

• Experimental is based on actual experiments, while theoretical is what is expected under ideal conditions

• There is no difference

• Theoretical is based on actual data

• Experimental is less accurate