Three pixels walk into a bar …


Three pixels walk into a bar together. They met outside and the bartender knows that each pixel can only be red, green or blue. (Multispectrals are welcome, of course, but they wear hats and none are visible.) She also knows that, being noisy pixels, there is an equal chance of  any individual pixel being red, green or blue, 1/3. They are wearing coats.

When one pixel removes his coat, the bartender can see that he is red. She wonders about the other pixels and their beverage preferences (e.g., blue pixels often prefer lager). She has no other information, and knows better than to infer from stereotypes.

What is the chance that the group will be neutral (or is it, diverse?), having three different pixels; red, green and blue?

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