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 9Blue 18Green 8Yellow 6Purple 7Based 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 9Blue 18Green 8Yellow 6Purple 7Based on these results, express the probability that the next spin will land on yellow as a percent to the nearest whole number.
Solution 1
To calculate the probability, we first need to find the total number of spins. We do this by adding up the frequency of all the colors:
Red: 9 Blue: 18 Green: 8 Yellow: 6 Purple: 7
Total = 9 + 18 + 8 + 6 + 7 = 48 spins
The probability of landing on yellow is the frequency of yellow spins divided by the total number of spins. So, we divide the frequency of yellow (6) by the total number of spins (48):
Probability of yellow = 6 / 48 = 0.125
To express this as a percentage, we multiply by 100:
0.125 * 100 = 12.5%
Rounding to the nearest whole number, we get 13%. So, the probability that the next spin will land on yellow is approximately 13%.
Solution 2
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: 9 Blue: 18 Green: 8 Yellow: 6 Purple: 7
Total = 9 + 18 + 8 + 6 + 7 = 48 spins
The probability of landing on yellow is the frequency of yellow spins divided by the total number of spins. So, we divide the frequency of yellow (6) by the total number of spins (48):
Probability of yellow = 6 / 48 = 0.125
To express this as a percentage, we multiply by 100:
0.125 * 100 = 12.5%
Rounding to the nearest whole number, the probability that the next spin will land on yellow is approximately 13%.
Similar Questions
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