Exploring Theoretical and Experimental Probability

The video tutorial covers the concepts of theoretical and experimental probability using a six-sided die. It begins with an introduction to probability, explaining the difference between theoretical and experimental approaches. Theoretical probability is calculated based on the sample space and favorable outcomes, while experimental probability is derived from actual die rolls. The video then compares the predicted theoretical probabilities with the observed experimental results, highlighting the differences and discussing potential reasons for these discrepancies.

What is the theoretical probability of rolling a two with a six-sided die?

• 16.6%

• 33%

• 50%

• 25%

What is the theoretical probability of rolling a two or a three?

• 66.6%

• 16.6%

• 50%

• 33%

What is the theoretical probability of rolling a number greater than four?

• 16.6%

• 33%

• 50%

• 66.6%

What is the theoretical probability of rolling an odd number?

• 66.6%

• 50%

• 33%

• 16.6%

What is the experimental probability of rolling a one in 50 trials?

• 8%

• 16%

• 24%

• 20%

How does the experimental probability of rolling a two compare to the theoretical prediction?

• It's higher

• It's lower

• It's the same

• Data is insufficient

What is the experimental probability of rolling a five?

• 8%

• 16%

• 24%

• 20%

What is the experimental probability of rolling a number greater than four?

• 44%

• 28%

• 60%

• 33%

What is the experimental probability of rolling a three or less?

• 44%

• 28%

• 60%

• 33%

What discrepancy exists between theoretical and experimental probabilities?

• They can vary

• Experimental is always higher

• Theoretical is always higher

• They are always the same