SOLUTION: four cards are randomly selected from a standard 52 card deck, what is the probability of getting 4 hearts or 4 cards lower than a 9, counting aces as 1?

Question 144482: four cards are randomly selected from a standard 52 card deck, what is the probability of getting 4 hearts or 4 cards lower than a 9, counting aces as 1?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
four cards are randomly selected from a standard 52 card deck, what is the probability of getting 4 hearts or 4 cards lower than a 9, counting aces as 1?
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P(4 hearts or 4 cards <9) ?
# of hears: 13
# of cards < 9 : 32
# of hearts < 9: 8
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P(4 hearts or 4 cards < 9)
= (13C4 + 32C4 - 8C4)/(52C4) = 0.1352....
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Cheers,
Stan H.
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