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

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soman2006 | Student, Undergraduate | Salutatorian

Posted December 9, 2012 at 5:39 PM via web

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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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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted December 9, 2012 at 5:58 PM (Answer #1)

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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.

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embizze | High School Teacher | (Level 1) Educator Emeritus

Posted December 9, 2012 at 6:34 PM (Answer #2)

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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`

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