document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=466220>Question 466220</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a die is rolled 30 times, there are 630 different sequences possible. What fraction of these sequences have exactly 9 numbers less than or equal to 2? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #319572 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=319572\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This experiment follows binomial distribution with n = 30, p = 2/6 = 1/3, and q = 4/6 = 2/3.  Hence the the probability, or the fraction of these sequences that have exactly 9 numbers less than or equal to 2 is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28X+=+9%29+=+30C9%2A%282%2F3%29%5E21%2A%281%2F3%29%5E9+=+0.14573 ALIGN=MIDDLE  ALT=\"P%28X+=+9%29+=+30C9%2A%282%2F3%29%5E21%2A%281%2F3%29%5E9+=+0.14573\"   DISABLED_style= \"max-width:90%; height:auto;\" >, to 3 decimal places. </SPAN>\n" );
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