document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=317523>Question 317523</A>: <I><SPAN STYLE=\"word-break: break-all;\"> three man are seeking public office. candidates a and b are given about the same chance of winning, but candidate c is given twice the chance of either a or b.<BR>\n" );
document.write( "a) what is the probability that c wins?<BR>\n" );
document.write( "b) what is the probability that a does not win? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #227411 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=227411\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> three man are seeking public office. candidates a and b are given about the same chance of winning, but candidate c is given twice the chance of either a or b.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "P(a) = x<BR>\n" );
document.write( "P(b) = x<BR>\n" );
document.write( "P(c) = 2x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x + x + 2x = 1<BR>\n" );
document.write( "4x = 1<BR>\n" );
document.write( "x = 1/4<BR>\n" );
document.write( "2x = 1/2<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "a) what is the probability that c wins? = 1/2<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "b) what is the probability that a does not win?<BR>\n" );
document.write( "1-1/4 = 3/4<BR>\n" );
document.write( "===============================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===============<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );