document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=280057>Question 280057</A>: <I><SPAN STYLE=\"word-break: break-all;\"> there is a bank failure once every six days, on average. What is the probability of at least one bank failure in the next 30 days? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #203542 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=203542\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There is a bank failure once every six days, on average. What is the probability of at least one bank failure in the next 30 days?<BR>\n" );
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document.write( "General Rule:<BR>\n" );
document.write( "P(at least one) = 1 - P(none)<BR>\n" );
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document.write( "Your Problem:<BR>\n" );
document.write( "P(at least one bank failure) = 1 - P(no bank failures)<BR>\n" );
document.write( "= 1 - (5/6)^6<BR>\n" );
document.write( "= 1 - 0.3349<BR>\n" );
document.write( "= 0.6651<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );