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 Results
Color Frequency
Red 7
Blue 16
Green 19
Yellow 8
Purple 3
Based on these results, express the probability that the next spin will land on yellow as a percent to the nearest whole number.

Answer 1

To calculate the probability that the next spin will land on yellow, we first need to find the total number of spins. We can do this by summing the frequencies of all the colors:

\[
\text{Total Spins} = \text{Red} + \text{Blue} + \text{Green} + \text{Yellow} + \text{Purple}
\]
\[
\text{Total Spins} = 7 + 16 + 19 + 8 + 3 = 53
\]

Now, the probability of landing on yellow is calculated using the frequency of yellow spins divided by the total number of spins:

\[
P(\text{Yellow}) = \frac{\text{Frequency of Yellow}}{\text{Total Spins}} = \frac{8}{53}
\]

To express this probability as a percent, we multiply by 100:

\[
P(\text{Yellow}) \times 100 = \left(\frac{8}{53}\right) \times 100 \approx 15.0943
\]

Rounding this to the nearest whole number gives:

\[
\text{Probability of landing on yellow} \approx 15\%
\]

Thus, the probability that the next spin will land on yellow is approximately **15%**.