Question

a spinner with 6 equally - sized slices has 2 blue slices, 1 red 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 blue slice? write your answer as a fraction in simplest form.

Explanation:

Step1: Determine total number of slices

The spinner has 6 equally - sized slices. So the total number of possible outcomes \(n = 6\).

Step2: Determine number of favorable outcomes

There are 2 blue slices. So the number of favorable outcomes \(m=2\).

Step3: Calculate the probability

The probability formula is \(P=\frac{m}{n}\). Substituting \(m = 2\) and \(n = 6\), we get \(P=\frac{2}{6}\).

Step4: Simplify the fraction

Divide both the numerator and denominator by 2. \(\frac{2\div2}{6\div2}=\frac{1}{3}\).

Answer:

\(\frac{1}{3}\)