Question

a spinner with 6 equally sized slices has 2 yellow slices, 1 blue slice, and 3 red slices. the dial is spun and stops on a slice at random. what is the probability that the dial stops on a yellow slice? write your answer as a fraction in simplest form.

Explanation:

Step1: Identify total and favorable outcomes

Total number of slices is $2 + 1+3=6$. Number of yellow slices (favorable outcomes) is 2.

Step2: Calculate probability

Probability formula is $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P = \frac{2}{6}$.

Step3: Simplify the fraction

$\frac{2}{6}=\frac{2\div2}{6\div2}=\frac{1}{3}$.

Answer:

$\frac{1}{3}$