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A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:Spinner ResultsColor FrequencyRed 7Blue 16Green 19Yellow 8Purple 3Based on these results, express the probability that the next spin will land on yellow as a percent to the nearest whole number.

Question

A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:Spinner ResultsColor FrequencyRed 7Blue 16Green 19Yellow 8Purple 3Based on these results, express the probability that the next spin will land on yellow as a percent to the nearest whole number.

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Solution

To calculate the probability, we first need to find the total number of spins. We do this by adding up the frequency of each color:

Red: 7 Blue: 16 Green: 19 Yellow: 8 Purple: 3

Total spins = 7 + 16 + 19 + 8 + 3 = 53 spins

Next, we find the frequency of the color we're interested in, which is yellow. The frequency of yellow is 8.

The probability is then calculated by dividing the frequency of yellow by the total number of spins:

Probability of yellow = Frequency of yellow / Total spins = 8 / 53

To express this as a percentage, we multiply by 100:

Probability of yellow = (8 / 53) * 100 = 15.09%

Rounding to the nearest whole number, the probability that the next spin will land on yellow is approximately 15%.

This problem has been solved

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