document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=764344>Question 764344</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If you run a red traffic light at an intersection, there is a .1 probability tha tyou will be given a traffic violation. If you runa red traffic light at this intersection five different times, what is the probability of getting at least one traffic violation?\r<BR>\n" );
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document.write( "I know the answer is .410, but please explain the process.<BR>\n" );
document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #465372 by </B><A HREF=/tutors/aboutme.mpl?userid=fcabanski><B>fcabanski(1391)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fcabanski><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=465372\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The probability of getting a ticket at least once is 1 - the probability of never getting a ticket.<P><BR>\n" );
document.write( "The probability of not getting a ticket at each light is .9 (1 - probability of a ticket.)  The sum of probabilities of n independent events (if each event probability is A) A^n.<P><BR>\n" );
document.write( "The probability of not getting a ticket at five lights is .9^5.<P><BR>\n" );
document.write( "The probability of getting at least one ticket is 1-.9^5 = 1-.59049 = .40951= approximately .410.  </SPAN>\n" );
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