Before dealing, there are 12 face cards, and 52 cards in the deck.



(12/52) = probability of first card being a face card (leaves 11 face cards and 51 total cards)...



(11/51) = probability of 2nd card being a face card



(10/50) = prob. of 3rd face card...





In all, 



 P(7 face cards dealt) = (12/52)*(11/51)*(10/50)*(9/49)*(8/48)*(7/47)*(6/46)  

    = 3991680 / 674274182400

    = 0.00000592   (approx)



Not a very likely outcome!



 

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