Question

a spinner with 12 equally sized slices has 3 yellow slices, 4 blue slices, and 5 red 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: Find total non - yellow slices

Total non - yellow slices = blue slices + red slices = 4+5 = 9.

Step2: Find total slices

Total slices = 12.

Step3: Calculate probability

Probability = $\frac{\text{Number of non - yellow slices}}{\text{Total number of slices}}$ = $\frac{9}{12}$. Simplify the fraction by dividing numerator and denominator by 3: $\frac{9\div3}{12\div3}$ = $\frac{3}{4}$.

Answer:

$\frac{3}{4}$