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 #841689 by Edwin McCravy(20054) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "It's the probability that a king, a queen, a jack, and the 2 of hearts\r\n" );
document.write( "come before the other 3 kings, the other 3 queens, and the other 3 jacks.\r\n" );
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document.write( "We are only concerned with the following 13 cards.\r\n" );
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document.write( "K, Q, J, 2 of hearts, K, K, K, Q, Q, Q, J, J, J\r\n" );
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document.write( "The other 39 cards can go anywhere.\r\n" );
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document.write( "We can choose the one king to come before the 2 of hearts 4 ways. \r\n" );
document.write( "We can choose the one queen to come before the 2 of hearts 4 ways.  \r\n" );
document.write( "We can choose the one jack to come before the 2 of hearts 4 ways. \r\n" );
document.write( "Those 3 cards can be ordered 3! = 6 ways\r\n" );
document.write( "The 3 Kings, 3 queens, and 3 jacks that come after the 2 of hearts can be\r\n" );
document.write( "ordered any of 9! ways.\r\n" );
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document.write( "The number of ways those 13 cards can come in the deck is 13!\r\n" );
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document.write( "So the desired probability is\r\n" );
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document.write( " that simplifies to  or about 0.022\r\n" );
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document.write( "I disagree with all your choices.\r\n" );
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document.write( "Edwin

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