document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=872059>Question 872059</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that a pair of fair, standard 6-sided dice are rolled fifteen times.  What is the probability that a sum of 7 occurs exactly three times in the fifteen rolls? Please help. To solve this problem I must use either binomial distribution or expected value probability.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #525874 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=525874\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ___1_2_3__4__5__6<BR>\n" );
document.write( "1|_2_3_4__5__6__7<BR>\n" );
document.write( "2|_3_4_5__6__7__8<BR>\n" );
document.write( "3|_4_5_6__7__8__9<BR>\n" );
document.write( "4|_5_6_7__8__9_10<BR>\n" );
document.write( "5|_6_7_8__9_10_11<BR>\n" );
document.write( "6|_7_8_9_10_11_12<BR>\n" );
document.write( "P(7) = 6/36 = 1/6 = .1667,  n = 15<BR>\n" );
document.write( "P(x =3) = binompdf(15, .1667, 3) = .2363  0r 23.63% </SPAN>\n" );
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