document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=574586>Question 574586</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a die is rolled twenty times.What is the probability of getting exactly four two's? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #369147 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=369147\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the binomial probability formula\r<BR>\n" );
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document.write( "P(X = x) = (n C x)*(p)^(x)*(1-p)^(n-x) \r<BR>\n" );
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document.write( "P(X = 4) = (20 C 4)*(0.1667)^(4)*(1-0.1667)^(20-4) \r<BR>\n" );
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document.write( "P(X = 4) = (20 C 4)*(0.1667)^(4)*(0.8333)^(20-4) \r<BR>\n" );
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document.write( "P(X = 4) = (4845)*(0.1667)^(4)*(0.8333)^16 \r<BR>\n" );
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document.write( "P(X = 4) = (4845)*(0.000772)*(0.054053) \r<BR>\n" );
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document.write( "P(X = 4) = 0.202177\r<BR>\n" );
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document.write( "So the probability of getting exactly four two's is 0.202 </SPAN>\n" );
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