Exploring Theoretical and Experimental Probability

Mr. Ganz and Mr. McFadden introduce theoretical and experimental probability, explaining key concepts such as events, outcomes, and experiments. They demonstrate theoretical probability using a six-sided die and discuss experimental probability through repeated testing. A probability race game illustrates the concepts, followed by an experiment rolling a die 50 times to compare theoretical and experimental results. The video concludes with a discussion on the differences between theoretical and experimental probability, emphasizing real-world applications.

What is an event in probability?

• A test to determine the outcome's likelihood

• A situation with a chance that has more than one possible outcome

• A theory-based prediction

• The result of an experiment

What does an outcome refer to in probability?

• A specific result of an event

• The total number of possible results

• A theory-based prediction

• An experiment to determine likelihood

What does theoretical probability represent?

• The actual results from an experiment

• The chance of an event occurring based on all possible outcomes

• The number of times an event occurs

• The percentage of the experiment's success

What is the probability of rolling an even number with a six-sided die?

• 2/3

• 1/2

• 1/4

• 1/3

What does the 'P' symbol stand for in probability?

• Probability

• Prediction

• Possible outcome

• Percentage

How is experimental probability calculated?

• Predicted outcomes based on theory

• Number of times an event occurs divided by the number of trials

• Number of experiments conducted

• Number of desired outcomes divided by total outcomes

In the race experiment, why wasn't the race fair?

• All races are fair

• Because the dice was biased

• Due to the difference in the number of chances to move up

• Because one car was faster than the other

What was the theoretical probability of rolling a 5?

• 1 in 4

• 1 in 6

• 1 in 3

• 1 in 5

How many fives were rolled in the 50 rolls experiment?

• Five

• Eight

• Ten

• Six

What was the experimental probability of rolling a 5 in the experiment?

• 10%

• 20%

• 17%

• 15%