Schofield Guzman
05/16/2023 · Middle School
(b) From Salma's results, compute the experimental probability of landing on black. (c) Assuming that the spinner is fair, choose the statement below that is true: The experimental and theoretical probabilities must always be equal. As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. As the number of spins increases, we expect the experimental and theoretical probabilities to become farther apart.
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### (b) Computing the Experimental Probability of Landing on Black
To find the experimental probability of landing on black, use the formula:
\[
\text{Probability of Black} = \frac{\text{Number of Black Outcomes}}{\text{Total Spins}}
\]
However, without Salma's specific results, I can't calculate the exact probability. If you provide the number of times the spinner landed on black and the total number of spins, I can help you compute it.
---
### (c) Comparing Experimental and Theoretical Probabilities
**Correct Statement:**
*As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.*
**Explanation:**
- The experimental probability approaches the theoretical probability as the number of trials increases, but they may not be exactly equal due to randomness.
---
**Summary:**
- **(b)** Needs Salma's data to compute.
- **(c)** The second statement is correct.
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