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 3
Green 2
Yellow 2
Purple 6
Based on these results, express the probability that the next spin will land on blue as a fraction in simplest form.

Answer 1

To find the probability of the next spin landing on blue, we need to determine the number of favorable outcomes (blue) and the total number of possible outcomes.

From the given results, we see that blue appeared 3 times out of a total of 4 + 3 + 2 + 2 + 6 = 17 spins.

Therefore, the probability of the next spin landing on blue can be expressed as:

Probability of blue = Number of favorable outcomes / Total number of possible outcomes
= 3 / 17

Thus, the probability of the next spin landing on blue, expressed as a fraction in simplest form, is 3/17.