Question

what is the probability of spinning the spinner and getting a multiple of 3?

Explanation:

Step1: Identify total sections

The spinner has 8 equal - sized sections (numbers 1, 2, 3, 4, 5, 6, 7, 8). So the total number of possible outcomes, \(n = 8\).

Step2: Identify multiples of 3

Multiples of 3 among these numbers are 3 and 6. So the number of favorable outcomes, \(m=2\).

Step3: Calculate probability

The formula for probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Substituting \(m = 2\) and \(n = 8\), we get \(P=\frac{2}{8}=\frac{1}{4}\).

Answer:

\(\frac{1}{4}\)