document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1065236>Question 1065236</A>: <I><SPAN STYLE=\"word-break: break-all;\"> So 6 fair sided dice are tossed. What is the probability that at least one 5 and one 6 are shown at the same time? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #680430 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=680430\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For a single die, the probability no 5 or 6 appears is (2/3)<BR>\n" );
document.write( "For six of them, the probability is (2/3)^6=0.0878.<BR>\n" );
document.write( "For a single die, the probability of one 5 is (1/6). The probability of no 6 is (5/6)^5. That is 0.0670.<BR>\n" );
document.write( "There is the same probability of one 6 and no 5, 0.0670, and these three probabilities, which are not desired, is 0.2218.<BR>\n" );
document.write( "Therefore, the probability of at least one 5 and one 6 is 0.7782. </SPAN>\n" );
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