A spinner with 10 equally sized slices has 4 yellow slices, 3 red slices, and 3 blue slices. Nicole spun the dial 40 times and got the following results. Outcome Yellow Red Blue Number of spins 18 9 13 Answer the following. Round your answers to the nearest thousandths. (a) From Nicole's results, compute the experimental probability of landing on red. (b)Assuming that the spinner is fair, compute the theoretical probability of landing on red. (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.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A spinner with 10 equally sized slices has 4 yellow slices, 3 red slices, and 3 blue slices. Nicole spun the dial 40 times and got the following results.

Outcome Yellow Red Blue
Number of spins 18 9 13

 

Answer the following. Round your answers to the nearest thousandths.

 

(a) From Nicole's results, compute the experimental probability of landing on red.
 
(b)Assuming that the spinner is fair, compute the theoretical probability of landing on red.
 
(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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