document.write( "Question 427342: 1. A card is drawn from an ordinary deck and we are told that it is red, what is the probability that the card is greater than 2 but less than 9? \n" ); document.write( "

Algebra.Com's Answer #297197 by Edwin McCravy(20060) $\"\"$ $\"About$

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1. A card is drawn from an ordinary deck and we are told that it is red, what is the probability that the card is greater than 2 but less than 9?\r
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document.write( "Here is a complete deck of 52 cards:\r\n" );
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document.write( "A♥   2♥   3♥   4♥   5♥   6♥   7♥   8♥  9♥  10♥  J♥  Q♥  K♥ \r\n" );
document.write( "A♦   2♦   3♦   4♦   5♦   6♦   7♦   8♦  9♦  10♦  J♦  Q♦  K♦\r\n" );
document.write( "A♠   2♠   3♠   4♠   5♠   6♠   7♠   8♠  9♠  10♠  J♠  Q♠  K♠  \r\n" );
document.write( "A♣   2♣   3♣   4♣   5♣   6♣   7♣   8♣  9♣  10♣  J♣  Q♣  K♣ \r\n" );
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document.write( "We are told that the card is red, so we can remove all the \r\n" );
document.write( "black cards and have only this smaller deck of 26 red cards:\r\n" );
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document.write( "A♥   2♥   3♥   4♥   5♥   6♥   7♥   8♥  9♥  10♥  J♥  Q♥  K♥ \r\n" );
document.write( "A♦   2♦   3♦   4♦   5♦   6♦   7♦   8♦  9♦  10♦  J♦  Q♦  K♦\r\n" );
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document.write( "So we want the probabilty that out of those 26 red cards, \r\n" );
document.write( "the card that is drawn is one of these 12:\r\n" );
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document.write( "          3♥   4♥   5♥   6♥   7♥   8♥   \r\n" );
document.write( "          3♦   4♦   5♦   6♦   7♦   8♦\r\n" );
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document.write( "So the desired probability is 12 out of 26, or 12/26 \r\n" );
document.write( "which reduces to 6/13.\r\n" );
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document.write( "Edwin
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