document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=697079>Question 697079</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Not so much a homework problem as an actual thing I'm grappling with in a gaming group. Your help would be much appreciated!\r<BR>\n" );
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document.write( "Four ten-sided dice are rolled. Each die that shows a 6 or lower is a \"success\", so the chance of a success is 60%, and the chance of a failure is 40%.\r<BR>\n" );
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document.write( "The chance of four successes is 0.6^4, or .1296 (12.96%), and the chance of four failures is 0.4^4, or .0256 (2.56%).\r<BR>\n" );
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document.write( "What are the chances of exactly one success, exactly two successes, and exactly three successes? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #429645 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=429645\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Four ten-sided dice are rolled. Each die that shows a 6 or lower is a \"success\", so the chance of a success is 60%, and the chance of a failure is 40%. <BR>\n" );
document.write( "The chance of four successes is 0.6^4, or .1296 (12.96%), and the chance of four failures is 0.4^4, or .0256 (2.56%). <BR>\n" );
document.write( "What are the chances of exactly one success, exactly two successes, and exactly three successes?<BR>\n" );
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document.write( "Binomial Problem with n = 4 ; p(1<= x <=6) = 0.6<BR>\n" );
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document.write( "P(1 success) = 4C1(0.6)(0.4)^3 = 4*0.6*0.064 = 0.1536<BR>\n" );
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document.write( "P(2 successes) 4C2(0.6)^2(0.4)^2 = 6*0.36*0.16 = 0.3456<BR>\n" );
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document.write( "P(3 successes) = 4C3(0.6)^3(0.4) = 4*0.216*0.4 = 0.3456<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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