document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1101847>Question 1101847</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the probability that at least two of the nine justices of the U.S. Supreme Court have the same birthday? (Use a 365-day year. Round your answer to four decimal places.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #716477 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=716477\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let A be the event that at least two justices have the same birthday.\r<BR>\n" );
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document.write( "P(A) = 1 - P(A')<BR>\n" );
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document.write( "P(A') = (364/365)*(363/365)*(362/365)*(361/365)*(360/365)*(359/365)*(358/365)*(357/365)<BR>\n" );
document.write( "P(A') = (364*363*362*361*360*359*358*357)/(365^8)<BR>\n" );
document.write( "P(A') = 0.9053762<BR>\n" );
document.write( "—\r<BR>\n" );
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document.write( "P(A) = 1-0.9053762 = 0.0946238, rounded to 4 decimal places: <b>0.0946</b><BR>\n" );
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