document.write( "Question 21777: What is the probability of obtaining a poker hand(5 cards)containing 2 aces? \n" ); document.write( "
Algebra.Com's Answer #10512 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
What is the probability of obtaining a poker hand(5 cards)\r\n" );
document.write( "containing 2 aces?\r\n" );
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document.write( "We can choose the pair of aces any of 4C2 ways.\r\n" );
document.write( "For each of these choices of a pair of aces we can choose the three\r\n" );
document.write( "non-aces any of 48C3 ways.\r\n" );
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document.write( "So the numerator of the desired probability is (4C2)(48C3)\r\n" );
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document.write( "The denominator of the desired probability is 52C5\r\n" );
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document.write( "So the desired probability is\r\n" );
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document.write( "(4C2)(48C3)\r\n" );
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document.write( "   52C5\r\n" );
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document.write( "[(4·3)/(2·1)]·[(48·47·46)/(3·2·1)]\r\n" );
document.write( "----------------------------------\r\n" );
document.write( "   (52·51·50·49·48)/(5·4·3·2·1)\r\n" );
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document.write( "= .0399298181\r\n" );
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document.write( "
Edwin
\n" ); document.write( "AnlytcPhil@aol.com \n" ); document.write( "
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