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
blue	16
green	6
yellow	11
purple	9

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 the frequencies of all colors. $4 + 16+6 + 11+9=46$

Step2: Calculate probability of landing on yellow

The probability $P$ of landing on yellow is the frequency of yellow divided by the total number of spins. $P=\frac{11}{46}$

Step3: Convert probability to percentage

Multiply the probability by 100. $\frac{11}{46}\times100=\frac{1100}{46}\approx24$ (rounded to the nearest whole number)

Answer:

$24\%$