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 9
blue 18
green 8
yellow 6
purple 7
based on these results, express the probability that the next spin will land on yellow as a percent to the nearest whole number.

Explanation:

Step1: Calculate total number of spins

Add up all the frequencies: $9 + 18+8 + 6+7=48$

Step2: Calculate probability of landing on yellow

Probability formula is $P=\frac{\text{frequency of event}}{\text{total number of trials}}$. For yellow, frequency is $6$, total trials $48$. So $P=\frac{6}{48}$

Step3: Convert to percentage

$\frac{6}{48}= 0.125$. To convert to percentage, multiply by $100$: $0.125\times100 = 12.5\%$. Rounding to the nearest whole number gives $13\%$

Answer:

$13\%$