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
11
Green
17
Yellow
7
Purple 10
Based on these results, express the probability that the next spin will land on red or
green or purple as a percent to the nearest whole number.

Answer 1

To find the probability of the next spin landing on red or green or purple, we need to calculate the total number of favorable outcomes and divide it by the total number of possible outcomes.

Given:
Frequency of Red = 11
Frequency of Green = 17
Frequency of Purple = 10

Total frequency of favorable outcomes = Frequency of Red + Frequency of Green + Frequency of Purple
= 11 + 17 + 10
= 38

Total number of possible outcomes = Sum of all frequencies
= 11 + 11 + 17 + 7 + 10
= 56

Probability = (Total frequency of favorable outcomes) / (Total number of possible outcomes)
= 38 / 56

Converting to a percentage to the nearest whole number:
Probability = (38 / 56) * 100
≈ 67.9

Therefore, the probability of the next spin landing on red or green or purple is approximately 68%.

Answer 2

Explanation:

To determine the probability of the next spin landing on red or green or purple, we need to calculate the total number of favorable outcomes (red, green, or purple) and divide it by the total number of possible outcomes.

The total number of favorable outcomes is the sum of the frequencies of red, green, and purple:

11 (red) + 17 (green) + 10 (purple) = 38

The total number of possible outcomes is the sum of the frequencies of all colors:

11 (red) + 11 (blue) + 17 (green) + 7 (yellow) + 10 (purple) = 56

So, the probability of the next spin landing on red or green or purple is 38/56.

To express this probability as a percent to the nearest whole number, we can calculate:

(38/56) * 100 ≈ 67.86

Rounded to the nearest whole number, the probability is approximately 68%.