A twenty-sided dice is rolled 100 times and lands on 17 twelve times. What is the experimental probability of rolling a 17?

The experimental probability of an event is calculated as the ratio of the number of times the event occurs to the total number of trials.

In this case:

- The event is rolling a 17.
- The number of times the event occurs (rolling a 17) is 12.
- The total number of trials (the number of times the dice is rolled) is 100.

So, the experimental probability \( P \) of rolling a 17 is:

\[
P(\text{rolling a 17}) = \frac{\text{Number of times 17 was rolled}}{\text{Total number of rolls}} = \frac{12}{100} = 0.12
\]

Thus, the experimental probability of rolling a 17 is **0.12**.

Would you like more details or have any questions?

Here are some related questions you might find interesting:

1. What is the theoretical probability of rolling a 17 on a 20-sided dice?
2. How does experimental probability differ from theoretical probability?
3. If the experiment were repeated 1,000 times, how might the experimental probability change?
4. How can you determine if a dice is fair using experimental probability?
5. What is the probability of rolling a number greater than 15 on a 20-sided dice?

**Tip:** When performing experiments, remember that increasing the number of trials generally provides a more accurate estimate of the true probability.

Understand how to calculate the experimental probability of rolling a 17 on a 20-sided dice through a detailed example. Learn the basics of probability and experimental trials. Suitable for Grades 6-8.

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