document.write( "Question 1205065: A deck of cards is shuffled well. The cards are dealt one-by-one until the two of hearts appears. Find the probability that exactly one king, queen, and jack appear before the two of hearts.
\n" ); document.write( "a) 1/11 b) 1/22 c) 1/33 d) 1/44 \n" ); document.write( "

Algebra.Com's Answer #841696 by ikleyn(52778) $\"\"$ $\"About$

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\n" ); document.write( "A deck of cards is shuffled well. The cards are dealt one-by-one until the two of hearts appears.
\n" ); document.write( "Find the probability that exactly one king, queen, and jack appear before the two of hearts.
\n" ); document.write( "a) 1/11 b) 1/22 c) 1/33 d) 1/44
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\n" ); document.write( "\n" ); document.write( "        As the problem is worded, it is AMBIGOUS.
\n" ); document.write( "        To avoid ambiguity, it should be re-formulated this way:\r
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\n" ); document.write( "\n" ); document.write( "                 Find the probability that exactly one king, queen, and jack appear
\n" ); document.write( "                  $\"highlight%28IMMEDIATELY%29\"$ before the two of hearts.\r
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\n" ); document.write( "\n" ); document.write( "        Agree that these are two different formulations describing two completely different situations.\r
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document.write( "The probability that 1-st dealt card is a king  is .\r\n" );
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document.write( "The probability that 2-nd dealt card is a queen is .\r\n" );
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document.write( "The probability that 3-rd dealt card is a jack  is .\r\n" );
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document.write( "The probability that first three dealt cards are a king, a queen and a jack in any order is\r\n" );
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document.write( "     = .\r\n" );
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document.write( "The probability that the next dealt card is the two of heard is .\r\n" );
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document.write( "So, the probability to have four first cards as described is\r\n" );
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document.write( "    =  = \r\n" );
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document.write( "      =  =  = 5.91006E-05.    ANSWER\r\n" );
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document.write( "There is nothing in common with your list of possible answers.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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