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The odds of drawing 1 out of 12 if 1 out of 12. It does not matter is I have all 4 suits, or 3 of the 4 suits, or just 1 of the four suits.
The odds of picking 1 out of 12 is 1 out of 12.
We happened to know, AFTER THE FACT, that the other card was the same.
Put another way: Say I draw 4 cards out of the deck, and they are all tens. What are the odds the next card I draw will be a ten?
You are saying 1 out of 48 (52-4) and I am saying 0 chance (of the 12x4 remaining, none are tens.)
The "specificity" is accounted for.
As this is basic combinatorics, I think we can leave it off here.
But just so you know, if you click here I showed how to count all of the Gothic Chess positions before any one piece comes off of the board. That number is 32,099,674,107,692,140,366,789,953,222,888,490,987,180,838,400,000,000 which makes doing "card math" a piece of cake :)