document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=388089>Question 388089</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You toss a fair 6-sided die 5 times.find the probability that a three is rolled exactly two out of the five rolls.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #274404 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=274404\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Note: The probability of x successes in n trials is: <BR>\n" );
document.write( "P = nCx* <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5Ex%2Aq%5E%28n-x%29 ALIGN=MIDDLE  ALT=\"p%5Ex%2Aq%5E%28n-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where p and q are the probabilities of success and failure respectively. In this case p = 1/6 and q = 5/6 <BR>\n" );
document.write( "nCx = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%21%2F%28x%21%28n-x%21%29%29 ALIGN=MIDDLE  ALT=\"n%21%2F%28x%21%28n-x%21%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(2 successes out of five rolls) = 10(1/6)^2(5/6)^3 = .1608 </SPAN>\n" );
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