document.write( "Question 1108677: An elevator with two passengers stops at the second, third, and
\n" ); document.write( "fourth floors. If it is equally likely that a passenger gets off
\n" ); document.write( "at any of the three floors, what is the probability that the
\n" ); document.write( "passengers get off at different floors? \n" ); document.write( "

Algebra.Com's Answer #723693 by Edwin McCravy(20056) $\"\"$ $\"About$

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An elevator with two passengers stops at the second, third, and
\n" ); document.write( "fourth floors. If it is equally likely that a passenger gets off
\n" ); document.write( "at any of the three floors, what is the probability that the
\n" ); document.write( "passengers get off at different floors?

First we get the numerator of the probability:\r\n" );
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document.write( "There are 3 ways to pick the floor for passenger 1 to get off.\r\n" );
document.write( "For each of those 3 ways to pick the floor for passenger 1 to get \r\n" );
document.write( "off, there remain 2 ways to pick a different floor for passenger 2 \r\n" );
document.write( "to get off.\r\n" );
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document.write( "So the numerator of the probability is 3×2 or 6.\r\n" );
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document.write( "Next we get the denominator of the probability:\r\n" );
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document.write( "There are 3 ways to pick the floor for passenger 1 to get off.\r\n" );
document.write( "For each of those 3 ways to pick the floor for passenger 1 to \r\n" );
document.write( "get off, there are still 3 ways to pick a floor for passenger \r\n" );
document.write( "2 to get off.\r\n" );
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document.write( "So the denominator of the probability is 3×3 or 9.\r\n" );
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document.write( "Answer: \r\n" );
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document.write( "Edwin

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