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 11 blue 8 green 15 yellow 3 purple 17 based on these results, express the probability that the next spin will land on blue as a percent to the nearest whole number.

Explanation:

Step1: Calculate total number of spins

Add up all the frequencies: \(11 + 8+15 + 3+17\).

$$11+8 + 15+3+17=(11 + 17)+(8 + 15)+3=28+23 + 3=54$$

Step2: Calculate probability of landing on blue

The probability \(P\) (blue) is \(\frac{\text{Frequency of blue}}{\text{Total number of spins}}\). The frequency of blue is \(8\), and total spins \(n = 54\). So \(P=\frac{8}{54}\).

$$P=\frac{8}{54}\approx0.1481$$

Step3: Convert to percentage

Multiply the decimal by \(100\): \(0.1481\times100 = 14.81\%\)

Answer:

\(15\%\)