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Do you mean the possibility of having in your opening hand:

a card you only have one copy of, in a 60 card deck, or;

a card that you have multiples of, in a 60 card deck. (If so what are the multiple values?)

Your percentage possibility of drawing one specific card, from a deck of 60 cards, in your opening hand of 7 is: 11.67%

A:

This can be worked out easily in excel using the hypergeometric distribution function.

for the possibility of having a card in the opening hand, when the deck on has one copy is as follows.card in hand1opening hand7copies of card1cards in library600.116667

in the cell that contains the result is the formula =HYPGEOMDIST(B1,B2,B3,B4)

Whereas the possibility of having a card in the opening hand, when the deck has four copies is:card in hand1opening hand7copies of card4cards in library600.33628

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Q: If you have a card deck with 60 cards in and draw 7 cards what is the possibility that you draw at least one of X specified cards?
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