document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=534794>Question 534794</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A box contains 50 balls numbered from 1 to 50. If 10 balls are drawn with replacement, what is the probability that at least two of them have the same number? \r<BR>\n" );
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document.write( "Any help would be appreciated! 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 #351648 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=351648\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A box contains 50 balls numbered from 1 to 50. If 10 balls are drawn with replacement, what is the probability that at least two of them have the same number? <BR>\n" );
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document.write( "P(at least 2 have same #) = 1 - P(no 2 have the same number)<BR>\n" );
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document.write( "Examine P(no 2 have same number)<BR>\n" );
document.write( "# of ways to succeed: 50C10 <BR>\n" );
document.write( "# of possible outcomes: 50^10<BR>\n" );
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document.write( "P(no 2 have same number) = 50C10/50^10 = 1.05x10^-7<BR>\n" );
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document.write( "So, P(at least 2 have same #) = 1 - (1.05x10^-7)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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