Question

1. 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 17
blue 10
green 15
yellow 14
purple 15
based on these results, express the probability that the next spin will land on blue as a decimal to the nearest hundredth.

1. 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 14
blue 20
green 6
yellow 15
purple 3
based on these results, express the probability that the next spin will land on purple as a percent to the nearest whole number.

Explanation:

Step1: Calculate total spins

$14 + 20 + 6 + 15 + 3 = 58$

Step2: Find purple relative frequency

$\frac{3}{58} \approx 0.0517$

Step3: Convert to percent and round

$0.0517 \times 100 = 5.17\% \approx 5\%$

Answer:

$5\%$