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

Answer:

P(gray), P(purple)

Explanation:

Step1: Determine total sections

The spinner has 8 equal - sections.

Step2: Count occurrences of each color

Gray appears 2 times, green appears 2 times, red appears 1 time, purple appears 2 times, yellow appears 1 time.

Step3: Calculate probabilities

The probability of an event (P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}). For gray, (P(\text{gray})=\frac{2}{8}), for green (P(\text{green})=\frac{2}{8}), for red (P(\text{red})=\frac{1}{8}), for purple (P(\text{purple})=\frac{2}{8}), for yellow (P(\text{yellow})=\frac{1}{8}). So (P(\text{gray})) and (P(\text{purple})) have the same probability.