A box has 10 disks numbered 1 through 10. A disk is drawn at random 50 times with replacement. The disk numbered 7 was drawn six times.

**What is the relative frequency of getting the disk numbered 7 on the next draw?**




Relative frequency is a measure of how often a particular event occurs relative to the total number of trials. It is calculated by dividing the number of times the event occurred by the total number of trials.

In this case:

- The disk numbered 7 was drawn 6 times out of 50 draws.
- The relative frequency is calculated as:

\[
\text{Relative Frequency} = \frac{\text{Number of times disk 7 was drawn}}{\text{Total number of draws}} = \frac{6}{50} = 0.12
\]

So, the relative frequency of getting the disk numbered 7 is **0.12** or **12%**.

Would you like more details or have any questions?

Here are some related questions:
1. What is the theoretical probability of drawing the disk numbered 7?
2. How would the relative frequency change if disk 7 was drawn 10 times instead of 6?
3. What is the difference between relative frequency and theoretical probability?
4. How many times would you expect to draw disk 7 if the experiment were conducted 100 times?
5. If the relative frequency was 0.2 instead of 0.12, how many times was disk 7 drawn?

**Tip:** Relative frequency is an empirical measure based on actual experiments, while theoretical probability is calculated based on the known possible outcomes.

Understand the relative frequency of drawing the disk numbered 7 from a box containing 10 disks, drawn randomly 50 times with replacement. Learn how to calculate relative frequency and its significance in probability and statistics. Example: Disk 7 was drawn 6 times out of 50 draws, resulting in a relative frequency of 0.12 or 12%.

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