Theoretical vs Experimental Probability Explained

This video tutorial explores the differences between theoretical and experimental probability. It begins with an introduction to probability, explaining the concepts of theoretical probability, which is what we expect to happen, and experimental probability, which is what actually happens. The tutorial uses examples like rolling dice in Monopoly and drawing cards from a deck to illustrate these concepts. The video concludes by encouraging viewers to conduct their own experiments to see how their results compare to theoretical expectations.

What are the two types of probability discussed?

• Theoretical and Experimental

• Subjective and Objective

• Mutually Exclusive and Non-Exclusive

• Independent and Dependent

How is theoretical probability calculated?

• Successful outcomes divided by number of trials

• Number of trials divided by successful outcomes

• Total outcomes divided by desired outcomes

• Desired outcomes divided by total outcomes

In the Monopoly example, what is the theoretical probability of rolling doubles?

• 1/36

• 6/36

• 1/12

• 1/6

What changes in the equation for experimental probability?

• Desired outcomes over total outcomes

• Number of times an outcome occurs over total trials

• Total trials over successful outcomes

• Successful outcomes over desired outcomes

In the dice rolling experiment, what was the experimental probability of rolling doubles?

• 2/6

• 1/6

• 3/6

• 4/6

How many face cards are in a standard deck of 52 cards?

• 4

• 8

• 12

• 16

What was the theoretical probability of drawing a face card from a deck?

• 1/4

• 3/13

• 12/52

• 4/13

In the card drawing experiment, how many face cards were actually drawn?

• 3

• 4

• 2

• 1

Why might experimental probability differ from theoretical probability?

• Real-world variations and chance

• Incorrect calculations

• Theoretical probability is always incorrect

• Experimental probability is always higher

What is encouraged at the end of the lesson?

• Assuming theoretical and experimental probabilities are always the same

• Focusing only on theoretical probability

• Further experimentation at home

• Ignoring experimental probability