document.write( "Question 144481: four cards are randomly selected from a standard 52 car deck, what is the probability of getting 4 hearts or 4 cards lower than a 9, counting aces as 1?
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Algebra.Com's Answer #105238 by Edwin McCravy(20056) $\"\"$ $\"About$

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four cards are randomly selected from a standard 52 car deck, what is the probability of getting 4 hearts or 4 cards lower than a 9, counting aces as 1?\r
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document.write( "Let  be the event \"to select 4 hearts\"\r\n" );
document.write( "Let  be the event \"to select 4 cards lower than 9\"\r\n" );
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document.write( "Then we use the formula\r\n" );
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document.write( "First we calculate \r\n" );
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document.write( "There are  ways to select  cards from a standard deck of . \r\n" );
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document.write( "So  is the denominator of .\r\n" );
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document.write( "Now we need to find the numerator of .\r\n" );
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document.write( "There are  ways to select  hearts from  without regard to order.\r\n" );
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document.write( "So \r\n" );
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document.write( "Next we find , of getting  cards lower than a , counting aces as 1.\r\n" );
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document.write( "There are  card ranks lower than , and there are  suits, so that makes\r\n" );
document.write( " cards which are lower than .  \r\n" );
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document.write( "There are therefore  ways to select  cards lower than  from the .\r\n" );
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document.write( "So \r\n" );
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document.write( "Next we find .\r\n" );
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document.write( "This is when all  cards selected are both lower than  and are also hearts.\r\n" );
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document.write( "There are  ways to select  hearts from the  hearts lower than .\r\n" );
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document.write( "So  \r\n" );
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document.write( "So now we can plug in the formula:\r\n" );
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document.write( "which reduces to\r\n" );
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document.write( "Edwin

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