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 4 blue 4 green 15 yellow 9 purple 3 based on these results, express the probability that the next spin will land on blue or green or purple as a percent to the nearest whole number. answer attempt 1 out of a

Explanation:

Step1: Calculate total number of spins

Add up all frequencies: \(4 + 4+15 + 9+3=\sum_{i = 1}^{5}f_i=35\)

Step2: Calculate number of favorable outcomes

Number of blue or green or purple spins: \(4 + 15+3=22\)

Step3: Calculate probability as a fraction

Probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{22}{35}\)

Step4: Convert to percentage

\(P=\frac{22}{35}\times100\% \approx 62.86\%\)

Answer:

\(63\%\)