document.write( "Question 1155712: What is the probability of drawing a 5 card hand with the first 2 cards being hearts and the last 3 being spades in a standard deck of cards? \n" ); document.write( "
Algebra.Com's Answer #778356 by Edwin McCravy(20067)\"\" \"About 
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document.write( "There are 13 hearts and 13 spades in a 52 card deck.\r\n" );
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document.write( "The 1st card will be a heart 13 times out of 52 or 13/52 or 1/4 of the time.\r\n" );
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document.write( "Now there is only a 51-card deck with only 12 hearts.\r\n" );
document.write( "The 2nd card will be a heart 12 times out of 51 or 12/51 of those times.\r\n" );
document.write( "That will happen (1/4)(12/51) = 1/17 of the time.\r\n" );
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document.write( "Now there is only a 50-card deck with all 13 spades.\r\n" );
document.write( "The 3rd card will be a spade 13 times out of 50 or 13/50 of those times.\r\n" );
document.write( "That will happen (1/4)(12/51)(13/50) = (1/17)(13/50) = 13/850 of the time.\r\n" );
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document.write( "Now there is only a 49-card deck with only 12 spades.\r\n" );
document.write( "The 4th card will be a spade 12 times out of 49 or 12/49 of those times.\r\n" );
document.write( "That will happen (1/4)(12/51)(13/50)(12/49) = (13/850)(12/49) = 78/20825\r\n" );
document.write( "of the time.\r\n" );
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document.write( "Now there is only a 48-card deck with only 11 spades.\r\n" );
document.write( "The 5th card will be a spade 11 times out of 48 or 11/48 of those times.\r\n" );
document.write( "That will happen (1/4)(12/51)(13/50)(12/49)(11/48) = (78/20825)(11/48) =\r\n" );
document.write( "143/166600 of the time.\r\n" );
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document.write( "Answer = 143/166600\r\n" );
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document.write( "Edwin
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