document.write( "Question 459356: 4. A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting
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\n" ); document.write( "•a prime number under 10 given the card is red. (1 is not prime.)
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\n" ); document.write( "•a nine given the card is a face card.
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Algebra.Com's Answer #314990 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Find the probability of a prime number under 10 given \r\n" );
document.write( "the card is red. (1 is not prime.)\r\n" );
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document.write( "Start with a full deck of 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( "Remove all cards except the ones that are given.\r\n" );
document.write( "We are given that it is red, so we remove all cards\r\n" );
document.write( "except the red ones.  So we have only these 26:\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( "Now we will select the ones that are prime numbers under 10,\r\n" );
document.write( "which are the 2's, 3's, 5's, and 7's. I'll enclose them in\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( "That's 8 out of 26 or 8/26 which reduces to 4/13\r\n" );
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document.write( "Find the probability of a King, given that the card is not a heart.\r\n" );
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document.write( "Start with a full deck:\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( "Remove all cards except the ones that are given.\r\n" );
document.write( "We are given that it is not a heart, so we remove all \r\n" );
document.write( "the hearts.  So we have only these 39:\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" );
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document.write( "I'll enclose the kings in brackets:\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" );
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document.write( "That's 3 out of 39 or 3/39 which reduces to 1/13\r\n" );
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document.write( "Find the probability of a nine given the card is a face card.\r\n" );
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document.write( "Start with a full deck:\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( "Remove all cards except the ones that are given.\r\n" );
document.write( "We are given that it is a face card, so we remove everything but the\r\n" );
document.write( "face cards.  So we have only these 12:\r\n" );
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document.write( "                               J♥  Q♥  K♥ \r\n" );
document.write( "                               J♦  Q♦  K♦\r\n" );
document.write( "                               J♠  Q♠  K♠  \r\n" );
document.write( "                               J♣  Q♣  K♣ \r\n" );
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document.write( "I'll enclose the nines in brackets.  Whoops!  None of them are nines!\r\n" );
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document.write( "That's 0 out of 12 or 0/12 which reduces to 0.\r\n" );
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document.write( "That one was obviously zero because if you're given it's a face card,\r\n" );
document.write( "then it is impossible that it is a 9, because a 9 is not a face card.\r\n" );
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document.write( "Edwin
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