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 8Blue 4Green 17Yellow 15Purple 3Based on these results, express the probability that the next spin will land on red or blue or green as a decimal to the nearest hundredth.
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 8Blue 4Green 17Yellow 15Purple 3Based on these results, express the probability that the next spin will land on red or blue or green as a decimal to the nearest hundredth.
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: 8 Blue: 4 Green: 17 Yellow: 15 Purple: 3
Total spins = 8 + 4 + 17 + 15 + 3 = 47
Next, we find the total number of spins that resulted in either red, blue, or green. This is done by adding the frequencies of these three colors:
Red, Blue, Green spins = 8 + 4 + 17 = 29
The probability of the next spin landing on red, blue, or green is then the number of red, blue, or green spins divided by the total number of spins:
Probability = Red, Blue, Green spins / Total spins = 29 / 47 ≈ 0.62
So, the probability that the next spin will land on red, blue, or green is approximately 0.62, or 62%, when expressed as a decimal to the nearest hundredth.
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