Problem

A spinner with 10 equally sized slices has 4 red slices, 3 yellow slices, and 3 blue slices. Leila spun the dial 40 times and got the following results. \begin{tabular}{|c|c|c|c|} \hline Outcome & Red & Yellow & Blue \\ \hline Number of Spins & 16 & 16 & 8 \\ \hline \end{tabular} Answer the following. Round your answers to the nearest thousandths. (a) From Leila's results, compute the experimental probability of landing on red or blue. (b) Assuming that the spinner is fair, compute the theoretical probability of landing on red or blue. Explanation Check

Solution

Step 1 :First, we need to calculate the experimental probability of landing on red or blue. This is done by dividing the number of times Leila landed on red or blue by the total number of spins. In this case, Leila landed on red 16 times and on blue 8 times, out of a total of 40 spins. So, the experimental probability is \(\frac{16 + 8}{40} = 0.6\).

Step 2 :Next, we need to calculate the theoretical probability of landing on red or blue. This is done by dividing the number of red or blue slices by the total number of slices. The spinner has 4 red slices and 3 blue slices, out of a total of 10 slices. So, the theoretical probability is \(\frac{4 + 3}{10} = 0.7\).

Step 3 :Final Answer: The experimental probability of landing on red or blue is \(\boxed{0.6}\) and the theoretical probability of landing on red or blue is \(\boxed{0.7}\).

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Source: https://solvelyapp.com/problems/C5QeQkRLwH/

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