document.write( "Question 568465: 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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Algebra.Com's Answer #366967 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Here is a standard 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( "1. an odd prime number under 10 given the card is a club. (1 is not prime.)\r\n" );
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document.write( "Since we are given that the card is a club, we get rid of all the cards\r\n" );
document.write( "except the 13 clubs: \r\n" );
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document.write( "A♣   2♣   3♣   4♣   5♣   6♣   7♣   8♣  9♣  10♣  J♣  Q♣  K♣ \r\n" );
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document.write( "The prime numbers under ten in that group of cards are these four:\r\n" );
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document.write( "     2♣   3♣        5♣        7♣                                 \r\n" );
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document.write( "That's 4 out of 13 or a probability of \r\n" );
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document.write( "2. a Jack, given that the card is not a heart.\r\n" );
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document.write( "Since we are given that the card is a non-heart, we get rid of everything \r\n" );
document.write( "but the 39 non-hearts (which is the same as getting rid of the hearts:\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( "The Jacks in that group are these three:\r\n" );
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document.write( "                                                J♦  \r\n" );
document.write( "                                                J♠\r\n" );
document.write( "                                                J♣\r\n" );
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document.write( "That's 3 out of 39 or a probability of  which reduces to \r\n" );
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document.write( "3.  a King given the card is not a face card.\r\n" );
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document.write( "Since we are given that the card is a non-face card, we get rid of everything \r\n" );
document.write( "but the 40 non-face cards (which is the same as getting rid of face cards:\r\n" );
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document.write( "A♥   2♥   3♥   4♥   5♥   6♥   7♥   8♥  9♥  10♥   \r\n" );
document.write( "A♦   2♦   3♦   4♦   5♦   6♦   7♦   8♦  9♦  10♦\r\n" );
document.write( "A♠   2♠   3♠   4♠   5♠   6♠   7♠   8♠  9♠  10♠  \r\n" );
document.write( "A♣   2♣   3♣   4♣   5♣   6♣   7♣   8♣  9♣  10♣ \r\n" );
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document.write( "There are 0 Kings in that group, so that's\r\n" );
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document.write( "0 out of 40 or a probability of  which reduces to 0\r\n" );
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document.write( "That means that it's impossible, because a King IS a face-card, and if you\r\n" );
document.write( "are given that it's NOT a face card, then it is impossible to have a King. A\r\n" );
document.write( "probability of 0 means that it's impossible.  This was a trick question.\r\n" );
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document.write( "Edwin

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