document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=366312>Question 366312</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A web based test generator assigns 1 of 100 possible questions as the first question on a practice quiz. If 20 students take the quiz, what is the probability that at least 2 of the 20 are assigned the same first question? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #261109 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=261109\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 100/100 * 99/100 * 98*100 * ... * 81/100 = Probability that no-one is assigned the same question.<BR>\n" );
document.write( "=100!/(80!*100^20)<BR>\n" );
document.write( "=.13<BR>\n" );
document.write( "1-.13=.87 the probability that at least 2 of the 20 are assigned the same first question.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "This question is similar to the birthday problem which states that if 23 people are in a room it is statistically likely that 2 have the same birthday.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );