Question

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

Explanation:

Step1: Determine the number of favorable outcomes

The number of red slices (favorable outcomes) is \(2\).

Step2: Determine the total number of outcomes

The total number of slices is \(6\).

Step3: Calculate the probability

The probability formula is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). So, \(P = \frac{2}{6}\).

Step4: Simplify the fraction

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

Answer:

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