To calculate the experimental probability that you make your next free throw, we need to consider the total number of free throws attempted and the number of free throws made.

You attempted 22 free throws and missed 6. Therefore, the number of free throws you made is:

$\text{Made Free Throws} = 22 - 6 = 16$

The experimental probability of making a free throw is the ratio of the number of successful free throws to the total number of attempts:

$\text{Probability of Making a Free Throw} = \frac{\text{Made Free Throws}}{\text{Total Attempts}} = \frac{16}{22}$

To simplify this fraction, divide both the numerator and denominator by their greatest common divisor (which is 2):

$\frac{16}{22} = \frac{8}{11}$

Thus, the experimental probability of making your next free throw is:

$\boxed{\frac{8}{11}}$

Alternatively, as a decimal, you can divide 8 by 11:

$\frac{8}{11} \approx 0.727$

So, the experimental probability is approximately 0.727.

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Would you like further clarification or additional steps on this? Here are 5 follow-up questions to explore:

1. How does experimental probability differ from theoretical probability in basketball?
2. If you attempted 100 free throws, how many would you expect to make based on this probability?
3. How can you improve your probability of making free throws?
4. What factors might affect your free throw success rate over time?
5. How would the probability change if you missed 10 free throws instead of 6?

Tip: To improve your free throw percentage, consistent practice and maintaining proper technique can make a noticeable difference!