Theoretical and Experimental Probability

The video discusses George's experiment of tossing a die 75 times and recording the outcomes. It explains the theoretical probability of landing on any number with a fair die, which is 1/6 for each side. The video then compares this with the experimental results, noting discrepancies where some numbers appeared more frequently than others, indicating that the experimental probability did not match the theoretical probability.

What was the main activity George performed in the experiment?

• He tossed a coin 75 times.

• He tossed a die 75 times.

• He flipped a card 75 times.

• He spun a wheel 75 times.

What is the theoretical probability of rolling a four on a standard die?

• 1 out of 5

• 1 out of 6

• 1 out of 4

• 1 out of 8

How many different numbers are on a standard die?

• Seven

• Six

• Five

• Four

Why does the theoretical probability remain the same for each number on a die?

• Because the die is weighted.

• Because each number has an equal chance of being rolled.

• Because the die is biased.

• Because each number has a different size.

What was observed about the frequency of numbers rolled in George's experiment?

• All numbers appeared equally.

• Numbers 1 and 5 appeared more frequently.

• Numbers 2 and 4 appeared more frequently.

• Numbers 3 and 6 appeared more frequently.

What conclusion was drawn about the experimental probability compared to the theoretical probability?

• They did not match.

• The experimental probability was higher.

• They matched perfectly.

• The experimental probability was lower.