A spinner with 10 equally sized slices has 2 blue slices, 4 yellow slices, and red slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a blue slice?
2 blue out of 10 total, so
P(blue) = 2/10
To calculate the probability that the dial stops on a blue slice, we need to determine the total number of possible outcomes and the number of favorable outcomes (the blue slices).
The spinner has a total of 10 equally sized slices:
- Number of blue slices: 2
- Number of yellow slices: 4
- Number of red slices: 10 - 2 - 4 = 4
Thus, the total number of possible outcomes is 2 + 4 + 4 = 10.
The number of favorable outcomes (blue slices) is 2.
Therefore, the probability of the dial stopping on a blue slice is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 2 / 10
Probability = 1 / 5
Hence, the probability that the dial stops on a blue slice is 1/5 or 0.2.
To find the probability that the dial stops on a blue slice, we need to determine the number of blue slices and the total number of slices on the spinner.
We are given that there are 10 equally sized slices on the spinner, 2 of which are blue.
Therefore, the probability of the dial stopping on a blue slice is calculated by dividing the number of blue slices by the total number of slices on the spinner:
probability = number of blue slices / total number of slices
probability = 2 blue slices / 10 total slices
Simplifying the fraction, we get:
probability = 1/5
So, the probability that the dial stops on a blue slice is 1/5 or 0.2 (or 20%).