document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1020362>Question 1020362</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A six-sided die is weighted so it rolls 6 five times as often as any other number. If it rolls 6 five times in a row, what is the probability it will roll 6 on the sixth roll? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #636277 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=636277\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For this biased die, assume that each of outcomes 1, 2, 3, 4, and 5 would have probability p, while 6 would have probability 5p.<BR>\n" );
document.write( "We then find the value of p.<BR>\n" );
document.write( "==> p+p+p+p+p+5p = 1 ==> 10p = 1 ==> p = 1/10 or 0.10<BR>\n" );
document.write( "==> 6 has probability 5p = 1/2.\r<BR>\n" );
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document.write( "==>The probability it will roll 6 on the sixth roll is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%5E5%2A%281%2F2%29+=+1%2F64+=+0.015625 ALIGN=MIDDLE  ALT=\"%281%2F2%29%5E5%2A%281%2F2%29+=+1%2F64+=+0.015625\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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