Question

a spinner with 6 equally sized slices has 2 red slices, 1 blue slice, and 3 yellow slices. the dial is spun and stops on a slice at random. what is the probability that the dial stops on a slice that is not red? write your answer as a fraction in simplest form.

Explanation:

Step1: Count total slices

Total slices = $6$

Step2: Count non-red slices

Non-red slices = $6 - 2 = 4$

Step3: Calculate probability

Probability = $\frac{\text{Non-red slices}}{\text{Total slices}} = \frac{4}{6}$

Step4: Simplify the fraction

$\frac{4}{6} = \frac{2}{3}$

Answer:

$\frac{2}{3}$