Questions: A spinner with 10 equally sized slices has 5 yellow slices, 3 red slices, and 2 blue slices. Maya spun the dial 40 times and got the following results. Outcome Yellow Red Blue Number of Spins 21 12 7 Answer the following. Round your answers to the nearest thousandths. (a) From Maya's results, compute the experimental probability of landing on blue or red (b) Assuming that the spinner is fair, compute the theoretical probability of landing on blue or red (c) Assuming that the spinner is fair, choose the statement below that is true.

A spinner with 10 equally sized slices has 5 yellow slices, 3 red slices, and 2 blue slices. Maya spun the dial 40 times and got the following results. Outcome Yellow Red Blue Number of Spins 21 12 7 Answer the following. Round your answers to the nearest thousandths. (a) From Maya's results, compute the experimental probability of landing on blue or red (b) Assuming that the spinner is fair, compute the theoretical probability of landing on blue or red (c) Assuming that the spinner is fair, choose the statement below that is true.
Transcript text: A spinner with 10 equally sized slices has 5 yellow slices, 3 red slices, and 2 blue slices. Maya spun the dial 40 times and got the following results. \begin{tabular}{|c|c|c|c|} \hline Outcome & Yellow & Red & Blue \\ \hline Number of Spins & 21 & 12 & 7 \\ \hline \end{tabular} Answer the following. Round your answers to the nearest thousandths. (a) From Maya's results, compute the experimental probability of landing on blue or red (b) Assuming that the spinner is fair, compute the theoretical probability of landing on blue or red (c) Assuming that the spinner is fair, choose the statement below that is true.
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Solution

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Solution Steps

Step 1: Identify the total number of spins

From the problem, Maya spun the spinner 40 times.

Step 2: Determine the number of favorable outcomes for red or blue

The number of red spins is 12, and the number of blue spins is 7. Therefore, the total number of favorable outcomes for red or blue is: \[ 12 + 7 = 19 \]

Step 3: Calculate the experimental probability

The experimental probability of landing on red or blue is the number of favorable outcomes divided by the total number of spins: \[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of spins}} = \frac{19}{40} \]

Final Answer

The experimental probability of landing on red or blue is \( \frac{19}{40} \) or 0.475.

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