document.write( "Question 659035: A 30 card deck is composed of 10 red, 10 yellow, and 10 blue cards with each color numbered 1-10. If a game uses a 5-card hand what is the probability of drawing a flush?\r
\n" ); document.write( "\n" ); document.write( "The probability of drawing a full house.\r
\n" ); document.write( "\n" ); document.write( "The probability that you do not draw four of a kind. \n" ); document.write( "
Algebra.Com's Answer #410644 by stanbon(75887)\"\" \"About 
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A 30 card deck is composed of 10 red, 10 yellow, and 10 blue cards with each color numbered 1-10. If a game uses a 5-card hand what is
\n" ); document.write( "the probability of drawing a flush?:::(3*10C5)/30C5 = 0.003
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\n" ); document.write( "The probability of drawing a full house (3 of a kind and 2 of a kind)
\n" ); document.write( "Ans: Pick a card type: 10 ways
\n" ); document.write( "Pick 3 of that card type: 3C3 = 1
\n" ); document.write( "Pick a different card type: 9 ways
\n" ); document.write( "Pick 2 of that card: 3C2 = 3 ways
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\n" ); document.write( "# of ways to succeed: (10*1*9*3) = 270 ways
\n" ); document.write( "# of 5-card groups: 30C5 = 142506
\n" ); document.write( "P(full house) = 270/142506 = 0.00189..
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\n" ); document.write( "The probability that you do not draw four of a kind.
\n" ); document.write( "There are no 4 of a kind
\n" ); document.write( "P(draw 4 of a kind) = 0
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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