# Probability calculation issue in a spinning wheel

Attached herewith is a spinning wheel. It's partitioned to equal 16 pieces and have four colors. Each color has 4 pieces which doesn't have an equal spread. That is, 4 green, 4 blue, 4 red and 4 yellow, but placed in different places.

My problem is, does probability of getting some color is 0.25? (I suppose no)

I personally have a feeling that, there's a high chance of getting red (according to this wheel) as it's spreaded all over the wheel.

Is my conclusion and the reasoning valid? Could you please explain if there's any misconception?

• Given above is the link to the image as it's not attached properly – Dovini Jayasinghe Sep 10 at 5:15
• The link requires permission. Use imgur maybe? – polettix Sep 10 at 5:40
• @polettix Added the image. Thanks – Dovini Jayasinghe Sep 10 at 7:24
• The chance of getting "some color" is, axiomatically, 1. The chance of getting some specified color equals the fraction of the circle's perimeter that color subtends, regardless of how the color is spread around. This is what it means for the spinner to be "fair" or "uniform"--that is, it doesn't favor or neglect any locations. – whuber Sep 10 at 12:59

If the answer is that the 16 slots are equiprobable, then each can come out with probability $$\frac{1}{16}$$. As a consequence, each possible group of 4 slots will get four times that probability, i.e. $$\frac{1}{4} = 0.25$$. Now you can re-add the colors.