a spinner with repeated colors numbered from 1 to 8 is shown. sections 1 and 8 are purple. sections 2 and 3…

Explanation:

Step1: Calculate total sections

The spinner has 8 sections, so the total number of possible outcomes is 8.

Step2: Calculate probability of each color

• Purple: Sections 1 and 8 are purple, so $P(\text{purple})=\frac{2}{8}=\frac{1}{4}$.
• Yellow: Sections 2 and 3 are yellow, so $P(\text{yellow})=\frac{2}{8}=\frac{1}{4}$.
• Blue: Sections 4, 5, and 6 are blue, so $P(\text{blue})=\frac{3}{8}$.
• Orange: Section 7 is orange, so $P(\text{orange})=\frac{1}{8}$.

Step3: Compare probabilities

• Compare orange and purple: $\frac{1}{8}<\frac{1}{4}$, so probability of orange is less than purple.
• Compare yellow and blue: $\frac{1}{4}<\frac{3}{8}$, so probability of yellow is less than blue.
• Compare orange and yellow: $\frac{1}{8}\neq\frac{1}{4}$, so they are not equal.
• Compare purple and blue: $\frac{1}{4}\neq\frac{3}{8}$, so they are not equal.

Answer:

The probability of landing on yellow is less than the probability of landing on blue.