document.write( "Question 245300: There are 100 students that are randomly placed into 4 classrooms. Three students want to be in the same class. Probability they are in the same class? probability they are all P's class? Probability they are all in different classes? \n" ); document.write( "
Algebra.Com's Answer #179229 by stanbon(75887)\"\" \"About 
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There are 100 students that are randomly placed into 4 classrooms.
\n" ); document.write( "Three students want to be in the same class.
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\n" ); document.write( "Probability they are in the same class?
\n" ); document.write( "Pick a classroom: 4 ways
\n" ); document.write( "Place the 3 randomly: 100*99*98 ways
\n" ); document.write( "Probability 4/(100*99*98) = 0.000004123
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\n" ); document.write( "probability they are all in P's class?
\n" ); document.write( "# of ways to succeed: 1 way
\n" ); document.write( "# of ways to place randomly: 100*99*98
\n" ); document.write( "Probability = 1/970200
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\n" ); document.write( "\n" ); document.write( "Probability they are all in different classes?
\n" ); document.write( "Pick 3 classes: 4C3 = 4
\n" ); document.write( "Put the 3 students in the three classes: 3*2*1 = 6
\n" ); document.write( "probability (4*6)/970200 = 0.00002474
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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