Question

a spinner with 12 equally sized slices has 3 yellow slices, 4 red slices, and 5 blue 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 yellow? write your answer as a fraction in simplest form.

Explanation:

Step1: Calculate non - yellow slices

Number of non - yellow slices = Red slices + Blue slices = 4 + 5 = 9.

Step2: Calculate probability

Probability = $\frac{\text{Number of non - yellow slices}}{\text{Total number of slices}}=\frac{9}{12}$.

Step3: Simplify the fraction

$\frac{9}{12}=\frac{9\div3}{12\div3}=\frac{3}{4}$.

Answer:

$\frac{3}{4}$