document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1149363>Question 1149363</A>: <I><SPAN STYLE=\"word-break: break-all;\"> this is on a test of mine that i am having difficulty with, this is the ENTIRE QUESTION on the test in front of me, i am not cutting the question out on purpose. \r<BR>\n" );
document.write( "\n" );
document.write( "Of the fifty ballots cast in the last election, at least one of them had an irregularity. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #770702 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=770702\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Probability(P) at least one of them had an irregularity = 1 - P(that none of the 50 ballots had an irregularity)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "This is an application of the Binomial Probability Formula,<BR>\n" );
document.write( ":<BR>\n" );
document.write( "P(k successes out of n trials) = nCk * p^k * (1-p)^(n-k), where nCk = n!/(k! * (n-k)!), k is number of successes, n is the number of trials<BR>\n" );
document.write( ":<BR>\n" );
document.write( "If the problem does not give you the probability of a ballot having an irregularity, then you have to use 50%, that is, p = 0.50<BR>\n" );
document.write( ":<BR>\n" );
document.write( "n = 50 and k = 0 means that 50C0 = 1 and p^0 = 1 but still need p to calculate 1 - p<BR>\n" );
document.write( ":<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );