A spinner with10 equally sized slices has 2 red slices,4 blue 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 red slice?
Write your answer as a fraction in simplest form.
There are a total of 10 equally sized slices on the spinner, and 2 of them are red. Therefore, the probability of stopping on a red slice is 2/10. This fraction can be simplified to 1/5.
To find the probability that the dial stops on a red slice, we need to calculate the number of favorable outcomes (red slices) divided by the total number of possible outcomes (all slices).
The number of red slices is 2, and the total number of slices is 10.
Therefore, the probability is 2/10.
Simplifying this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 2.
2/10 simplifies to 1/5.
So, the probability that the dial stops on a red slice is 1/5.