A basketball player makes 170 out of 200 free throws. We would estimate the probability that the player makes the next free throw to be  .



The estimated probability that the basketball player makes the next free throw can be calculated as the ratio of successful free throws to the total number of attempts.

Given that the player made 170 out of 200 free throws, the probability \( P \) is:

\[
P = \frac{\text{Number of successful free throws}}{\text{Total number of attempts}} = \frac{170}{200} = 0.85
\]

So, the estimated probability that the player makes the next free throw is **0.85** or **85%**.

Would you like further details or have any questions?

Here are 5 related questions:
1. What is the complement of this probability (the chance of missing the next free throw)?
2. If the player attempted 500 free throws, how many would you expect them to make?
3. What is the probability of making exactly 3 free throws out of the next 4 attempts?
4. How does the law of large numbers relate to this estimated probability?
5. How would the probability change if the player made 90% of their free throws in future attempts?

**Tip:** Probabilities are always values between 0 and 1, where 0 means an impossible event and 1 means a certain event.

A basketball player makes 170 out of 200 free throws. We would estimate the probability that the player makes the next free throw to be.

Estimate the probability that a basketball player makes the next free throw based on a ratio of 170 successful throws out of 200 attempts. Learn the key concepts of probability and how to apply ratios to real-life situations. Suitable for students in Grades 6-8.

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