When calculating probability for two standard die, 4,2 and 2,4 are treated as two separate outcomes. By that logic, why aren’t doubles treated the same way? One outcome for die A and B rolling 3,3 and another for die B and A rolling 3,3.
In: 5
They are treated separately when computing probabilities.
The probability of rolling a given face of a die is equal to the probability of rolling any other face if the die is fair. If you had one unfair die, you could account for this by weighting each of the enumerated combinations by the product of the probability of rolling each pair of faces and summing this to get the probability of rolling a given value (e.g. rolling 6, in this case).
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