Question

the spinner is divided into 8 equal sections. which two events have the same probability? p(gray), p(green) p(red), p(gray) p(gray), p(purple) p(yellow), p(gray)

Explanation:

Step1: Count the number of each - color sections

There are 2 gray sections, 2 green sections, 1 red section, 1 purple section, and 1 yellow section out of 8 total sections.

Step2: Calculate the probabilities

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$.
$P(\text{gray})=\frac{2}{8}=\frac{1}{4}$; $P(\text{green})=\frac{2}{8}=\frac{1}{4}$; $P(\text{red})=\frac{1}{8}$; $P(\text{purple})=\frac{1}{8}$; $P(\text{yellow})=\frac{1}{8}$.

Answer:

P(gray), P(green)