Problem

The spinner below shows 5 equally sized slices. Raina spun the dial 1000 times and got the following results. \begin{tabular}{|c|c|c|c|} \hline Outcome & White & Grey & Black \\ \hline Number of Spins & 406 & 384 & 210 \\ \hline \end{tabular} Fill in the table below. Round your answers to the nearest thousandth. (a) From Raina's results, compute the experimental probability of landing on grey. (b) Assuming that the spinner is fair, compute the theoretical probability of landing on grey. (c) Assuming that the spinner is fair, choose the statement below that is true:

Solution

Step 1 :Given that Raina spun the dial 1000 times and got the following results: 406 times on white, 384 times on grey, and 210 times on black.

Step 2 :To calculate the experimental probability of landing on grey, we divide the number of times the spinner landed on grey by the total number of spins. This gives us \(\frac{384}{1000} = 0.384\).

Step 3 :The spinner has 5 equally sized slices, so if the spinner is fair, the theoretical probability of landing on any given slice is \(\frac{1}{5} = 0.2\).

Step 4 :Therefore, the experimental probability of landing on grey is \(\boxed{0.384}\) and the theoretical probability of landing on grey is \(\boxed{0.2}\).

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Source: https://solvelyapp.com/problems/7899/

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