Question

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

The number of non - red slices is the sum of blue and yellow slices. So, $3 + 5=8$.

Step2: Calculate probability

The probability $P$ of an event is the number of favorable outcomes divided by the total number of outcomes. The total number of slices is 12. So, $P=\frac{8}{12}$.

Step3: Simplify the fraction

Simplify $\frac{8}{12}$ by dividing both the numerator and denominator by their greatest common divisor, which is 4. $\frac{8\div4}{12\div4}=\frac{2}{3}$.

Answer:

$\frac{2}{3}$