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 9
Green 4
Yellow 9
Purple 13
Based on these results, express the probability that the next spin will land on red or green or yellow as a fraction in simplest form.
The total number of spins recorded is:
11 + 9 + 4 + 9 + 13 = 46
The number of times the spinner landed on red, green, or yellow is:
11 + 4 + 9 = 24
So the probability of the next spin landing on red or green or yellow is:
24/46
Simplifying the fraction, we get:
12/23
Therefore, the probability of the next spin landing on red or green or yellow is 12/23.