Question

A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.

A spinner divided into eight equal colored sections, with one orange, two purple, two yellow, and three blue.

Which statement about probability is true?

The probability of landing on orange is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on blue.
The probability of landing on orange is equal to the probability of landing on yellow.
The probability of landing on purple is equal to the probability of landing on blue.

Answer 1

The probability of landing on purple is equal to the probability of landing on blue.

This is because each color covers the same number of sections (2 for purple, 3 for blue) and each section has the same size, so the probability of landing on each color is equal.

Probability = Number of successful outcomes / Total number of outcomes

For purple and blue, the number of successful outcomes is the same (2 and 3, respectively) and the total number of outcomes is 8, so the probability of landing on either color is equal.

Probability of landing on purple or blue = 2 / 8 = 3 / 8 = 0.25