document.write( "Question 325915: If a single card is drawn from an ordinary deck of card, what is the probability of drawing either a heart or a picture card (king, queen or jack) \n" ); document.write( "

Algebra.Com's Answer #233300 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "There are two methods to do this problem:\r\n" );
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document.write( "Method 1:\r\n" );
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document.write( "Here are all 52 cards in a 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( "The ones which fit that description as either a heart or a picture card \r\n" );
document.write( "(king, queen or jack), are these 22 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( "                                                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( "So the answer is 22 out of 52 or  which reduces to .\r\n" );
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document.write( "Method 2:\r\n" );
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document.write( "By formula: P(A or B) = P(A) + P(B) - P(A and B)\r\n" );
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document.write( "P(♥ or FACE) = P(♥) + P(FACE) - P(♥ and FACE)\r\n" );
document.write( "             =    +      -    \r\n" );
document.write( "             =  \r\n" );
document.write( "             =  \r\n" );
document.write( "             =     \r\n" );
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document.write( "Edwin

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