SOLUTION: what is the probability of picking two cards of the same suit in a deck of 52?

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Question 144178: what is the probability of picking two cards of the same suit in a deck of 52?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what is the probability of picking two cards of the same suit in a deck of 52?
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Pick a suit: 4 ways
Pick two cards from that suit: 13C2 = 13*12/1*2 = 13*6 = 78
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Unrestricted number of pairs of cards: 52C2 = 52*51/1*2 = 26*51 = 1326
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P(pick 2 cards of the same suit) = [4*78]/1326 = 0.23529...
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Cheers,
Stan H.