# If you are dealt 3 cards from a shuffle deck of 52 cards, find the probability that all 3 cards are clubs

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Find the probability of drawing 3 clubs from a shuffled, standard deck of cards:

The probability is the number of possible ways to draw 3 clubs divided by the total number of 3 card draws.

`p=(_13C_3)/(_52C_3)=286/22100=11/850~~.013`

A set of cards has 13 clubs and 52 cards in all. If three cards are dealt the probability of all of them being clubs is (13/52)(12/51)(11/50) = 11/850

**The required probability is 11/850.**