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There are ways of drawing a 4-card hand, where
is the so-called binomial coefficient.
There are 13 different card values, of which we want the hand to represent 4 values, so there are ways of meeting this requirement.
For each card value, there are 4 choices of suit, of which we only pick 1, so there are ways of picking a card of any given value. We draw 4 cards from the deck, so there are
possible hands in which each card has a different value.
Then there are total hands in which all 4 cards have distinct values, and the probability of drawing such a hand is