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
Well simple because with two dice you can get 2 and 4 two ways. When the first one is 2 and the second is 4 or when the first one is 4 and the second is true. Now for doubles you can only get them 1 way when both are the same.
So we simply account for this by treating the dice independently as we should. So it’s not that 2,4 and 4,2 are different it’s just that you have more ways to get 2,4 than 3,3. Same with sums certain sums can be achieved by multiple throws like a 7 but 12 can only be achieved by double 6s.
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