Theoretical vs Experimental Probability Challenge

The video tutorial reviews theoretical and experimental probability concepts. It begins with an explanation of probability models, emphasizing the need for a complete model to sum to one. Theoretical probability is demonstrated using dice, highlighting equal likelihood of outcomes. An experiment with dice is conducted to show how experimental probability can differ from theoretical expectations. The video concludes by comparing the two types of probability, illustrating that experimental results can vary due to real-world factors.

What must the total of all outcomes in a complete probability model equal?

• 2

• 1/2

• 0

• 1

If the probability of event A is 1/4 and event B is 2/8, what is the probability of event C for a complete model?

• 1/2

• 5/8

• 1/4

• 3/8

How many sides does a fair dice have?

• 12

• 8

• 4

• 6

What is the theoretical probability of rolling a 3 on a fair dice?

• 1/4

• 1/2

• 1/6

• 1/3

In the experiment, how many times did the dice land on a 5?

• 2

• 3

• 0

• 1

What does experimental probability rely on?

• Mathematical formulas

• Data from trials

• Theoretical assumptions

• Predictions

What was the outcome for rolling a 6 in the first trial?

• 0 times

• 1 time

• 2 times

• 3 times

How did the probability of landing a 1 change between the first and second trial?

• Increased

• Decreased

• Stayed the same

• Cannot be determined

What is the theoretical probability of flipping heads on a fair coin?

• 1/2

• 2/3

• 1/4

• 1/3

Why might experimental probability differ from theoretical probability?

• Due to experimental error

• Theoretical probability is always incorrect

• Because of biased samples

• Due to the randomness of each trial