There are 3 possible types of torment in Hell, which we will call A. B and C. More than one torment may be applied on a given day, or none at all if the denizens are lucky.

On any given day, there is a 2/3 chance that torment A will be applied.

Independent of this, there is a 2/3 chance that on that day torment B will be applied.

Independent of both of the above, there is a 2/3 chance that on that day torment C will be applied.

What are the chances that on a given day, exactly one of the three torments will be applied?

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