Question

a spinner with 12 equally sized slices has 4 yellow slices, 3 red slices, and 5 blue 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: Recall Probability Formula

The probability of an event is the number of favorable outcomes divided by the total number of possible outcomes. So, \( P(\text{yellow}) = \frac{\text{Number of yellow slices}}{\text{Total number of slices}} \).

Step2: Identify Values

Number of yellow slices is 4, total number of slices is 12. So, \( P(\text{yellow}) = \frac{4}{12} \).

Step3: Simplify the Fraction

Simplify \( \frac{4}{12} \) by dividing numerator and denominator by their greatest common divisor, which is 4. \( \frac{4\div4}{12\div4} = \frac{1}{3} \).

Answer:

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