Question

a spinner with 12 equally - sized slices has 5 blue slices, 3 red slices, and 4 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: Identify total number of slices

The total number of slices is the sum of blue, red and yellow slices. So, $5 + 3+4=12$.

Step2: Determine number of favorable outcomes

The number of favorable outcomes (blue slices) is 5.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So, $P = \frac{5}{12}$. Since 5 and 12 have no common factors other than 1, it is already in simplest form.

Answer:

$\frac{5}{12}$