Question

a spinner with 10 equally - sized slices has 2 yellow slices, 4 blue slices, and 4 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 number of slices

The spinner has 10 slices in total.

Step2: Identify number of favorable outcomes

There are 2 yellow slices.

Step3: Calculate probability

The probability formula is $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P = \frac{2}{10}$.

Step4: Simplify the fraction

$\frac{2}{10}=\frac{1}{5}$ by dividing both numerator and denominator by 2.

Answer:

$\frac{1}{5}$