document.write( "Question 945889: Hello, this is the second question that I have from the assignment.\r
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\n" ); document.write( "Five cards are drawn from a standard deck of 52 cards. How many hands of five cards have at least one red card? \r
\n" ); document.write( "\n" ); document.write( "This seems like it would be too easy and I think I'm just overthinking it.\r
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Algebra.Com's Answer #577025 by Edwin McCravy(20054) $\"\"$ $\"About$

You can put this solution on YOUR website!
Five cards are drawn from a standard deck of 52 cards. How many hands of five
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document.write( "First we calculate how many 5-card hands there are whether they contain\r\n" );
document.write( "red cards or not.\r\n" );
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document.write( "That's 52C5\r\n" );
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document.write( "Next we calculate how many 5-card hands we DO NOT want to count.\r\n" );
document.write( "We do not want to count any hands that DO NOT contain any red cards,\r\n" );
document.write( "that is, the 5-card hands that contain only 5 black cards.  There are\r\n" );
document.write( "26 black cards.\r\n" );
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document.write( "That's 26C5 hands that we DO NOT want to count.  So we subtract them,\r\n" );
document.write( "and all the rest must contain at least 1 red card.\r\n" );
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document.write( "Answer 52C5-26C5 = 2598960-65780 = 2533180\r\n" );
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document.write( "This procedure of calculating ALL possibilities and then subtracting \r\n" );
document.write( "the ones that you DO NOT want will usually be used when you see \r\n" );
document.write( "the words \"at least one\".\r\n" );
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document.write( "Edwin

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