document.write( "Question 207291: What is the probability of:
\n" ); document.write( "drawing a HEART
\n" ); document.write( "drawing an ACE
\n" ); document.write( "drawing the ACE of HEARTS\r
\n" ); document.write( "\n" ); document.write( "Could you work these out so I have a greater understanding on these types of problems \n" ); document.write( "

Algebra.Com's Answer #156738 by Edwin McCravy(20054) $\"\"$ $\"About$

You can put this solution on YOUR website!
What is the probability of:
\n" ); document.write( "drawing a HEART
\n" ); document.write( "drawing an ACE
\n" ); document.write( "drawing the ACE of HEARTS
\n" ); document.write( "Could you work these out so I have a greater understanding on these types of problems
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "This is the sample space of 52 cards, 13 each of \r\n" );
document.write( "HEARTS, DIAMONDS, SPADES, and CLUBS:\r\n" );
document.write( "\r\n" );
document.write( "A♥, 2♥, 3♥, 4♥, 5♥, 6♥, 7♥, 8♥, 9♥, 10♥, J♥, Q♥, K♥,\r\n" );
document.write( "\r\n" );
document.write( "A♦, 2♦, 3♦, 4♦, 5♦, 6♦, 7♦, 8♦, 9♦, 10♦, J♦, Q♦, K♦, \r\n" );
document.write( "\r\n" );
document.write( "A♠, 2♠, 3♠, 4♠, 5♠, 6♠, 7♠, 8♠, 9♠, 10♠, J♠, Q♠, K♠, \r\n" );
document.write( "\r\n" );
document.write( "A♣, 2♣, 3♣, 4♣, 5♣, 6♣, 7♣, 8♣, 9♣, 10♣, J♣, Q♣, K♣ \r\n" );
document.write( "\r\n" );
document.write( "==========================================================\r\n" );
document.write( "\r\n" );
document.write( "The probability of drawing a HEART:\r\n" );
document.write( "\r\n" );
document.write( "There are 13 ways of succeeding by drawing one of these:\r\n" );
document.write( "\r\n" );
document.write( "A♥, 2♥, 3♥, 4♥, 5♥, 6♥, 7♥, 8♥, 9♥, 10♥, J♥, Q♥, K♥ \r\n" );
document.write( "\r\n" );
document.write( "There are 52 ways of either succeeding or failing, i.e., \r\n" );
document.write( "getting SOME card.\r\n" );
document.write( "\r\n" );
document.write( "A♥, 2♥, 3♥, 4♥, 5♥, 6♥, 7♥, 8♥, 9♥, 10♥, J♥, Q♥, K♥,\r\n" );
document.write( "\r\n" );
document.write( "A♦, 2♦, 3♦, 4♦, 5♦, 6♦, 7♦, 8♦, 9♦, 10♦, J♦, Q♦, K♦, \r\n" );
document.write( "\r\n" );
document.write( "A♠, 2♠, 3♠, 4♠, 5♠, 6♠, 7♠, 8♠, 9♠, 10♠, J♠, Q♠, K♠, \r\n" );
document.write( "\r\n" );
document.write( "A♣, 2♣, 3♣, 4♣, 5♣, 6♣, 7♣, 8♣, 9♣, 10♣, J♣, Q♣, K♣ \r\n" );
document.write( "\r\n" );
document.write( "So the probability is  which reduces to  as a fraction,\r\n" );
document.write( " as a decimal, or  as a percent\r\n" );
document.write( "\r\n" );
document.write( "-------------------------\r\n" );
document.write( "\r\n" );
document.write( "The probability of drawing an ACE:\r\n" );
document.write( "\r\n" );
document.write( "There are 4 ways of succeeding by drawing one of these:\r\n" );
document.write( "\r\n" );
document.write( "A♥,\r\n" );
document.write( "\r\n" );
document.write( "A♦,\r\n" );
document.write( "\r\n" );
document.write( "A♠, \r\n" );
document.write( "\r\n" );
document.write( "A♣\r\n" );
document.write( "\r\n" );
document.write( "There are 52 ways of either succeeding or failing, \r\n" );
document.write( "i.e., getting SOME card.\r\n" );
document.write( "\r\n" );
document.write( "A♥, 2♥, 3♥, 4♥, 5♥, 6♥, 7♥, 8♥, 9♥, 10♥, J♥, Q♥, K♥,\r\n" );
document.write( "\r\n" );
document.write( "A♦, 2♦, 3♦, 4♦, 5♦, 6♦, 7♦, 8♦, 9♦, 10♦, J♦, Q♦, K♦, \r\n" );
document.write( "\r\n" );
document.write( "A♠, 2♠, 3♠, 4♠, 5♠, 6♠, 7♠, 8♠, 9♠, 10♠, J♠, Q♠, K♠, \r\n" );
document.write( "\r\n" );
document.write( "A♣, 2♣, 3♣, 4♣, 5♣, 6♣, 7♣, 8♣, 9♣, 10♣, J♣, Q♣, K♣ \r\n" );
document.write( "\r\n" );
document.write( "So the probability is  which reduces to  as a fraction.\r\n" );
document.write( "\r\n" );
document.write( "--------------------\r\n" );
document.write( "\r\n" );
document.write( "The probability of drawing the ACE of HEARTS:\r\n" );
document.write( "\r\n" );
document.write( "There is 1 way of succeeding, by drawing the ACE of HEARTS:\r\n" );
document.write( "\r\n" );
document.write( "A♥\r\n" );
document.write( "\r\n" );
document.write( "There are 52 ways of either succeeding or failing, \r\n" );
document.write( "i.e., getting SOME card.\r\n" );
document.write( "\r\n" );
document.write( "A♥, 2♥, 3♥, 4♥, 5♥, 6♥, 7♥, 8♥, 9♥, 10♥, J♥, Q♥, K♥,\r\n" );
document.write( "\r\n" );
document.write( "A♦, 2♦, 3♦, 4♦, 5♦, 6♦, 7♦, 8♦, 9♦, 10♦, J♦, Q♦, K♦, \r\n" );
document.write( "\r\n" );
document.write( "A♠, 2♠, 3♠, 4♠, 5♠, 6♠, 7♠, 8♠, 9♠, 10♠, J♠, Q♠, K♠, \r\n" );
document.write( "\r\n" );
document.write( "A♣, 2♣, 3♣, 4♣, 5♣, 6♣, 7♣, 8♣, 9♣, 10♣, J♣, Q♣, K♣ \r\n" );
document.write( "\r\n" );
document.write( "So the probability is .\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );