document.write( "Question 385489: A card is selected from a deck of 52 playing cards. Find the probability of selecting
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Algebra.Com's Answer #272780 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Here is a standard deck of 52 cards:
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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( "Probability of
an even number ten or less given the card is a not a diamond.
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document.write( "Since we are given that it is not a diamond, we can take out all the diamonds,\r\n" );
document.write( "and this is what we have left:\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( "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( "There are 39 of them.  Now I will underline all the cards that are even number\r\n" );
document.write( "ten or less: \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( "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( "Count them and you'll see there are 15 underlined cards, so the\r\n" );
document.write( "probability is 15 out of 39 or \"15%2F39\" which reduces to \"5%2F13\"\r\n" );
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document.write( "As before we start with 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( "Probability of
an Ace, given that the card is black.
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document.write( "Since we are given that the card is black, we will take away all the red ones,\r\n" );
document.write( "leaving only what is given, the black 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( "There are only 26 cards. And only 2 are aces.  So the probability is 2 out\r\n" );
document.write( "of 26 or \"2%2F26\" wich reduces to \"1%2F13\"\r\n" );
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document.write( "As before we start with 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( "Probability of
a spade given the card is red.
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document.write( "Since we are given that the card is red, we take away all the black cards,\r\n" );
document.write( "leaving all the 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( "There are only 26 cards left.\r\n" );
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document.write( "But there are no spades left.  So the probability is 0 out of 26 or \"0%2F26\"\r\n" );
document.write( "or 0. \r\n" );
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document.write( "Edwin
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