document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1026448>Question 1026448</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pair of dice is rolled. Let P denote the event “the sum shown is 8” and Q the event “the two dice show the same number”. Find (i) P(P/Q) (ii) P(Q/P) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #641805 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=641805\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Now P(P) = probability that “the sum shown is 8” = 5/36, and <BR>\n" );
document.write( "P(Q) = probability that “the two dice show the same number” = 6/36 = 1/6.\r<BR>\n" );
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document.write( "==>P(P|Q) = P(P&#8745;Q)/P(Q) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F36%29%2F%281%2F6%29+=+1%2F6 ALIGN=MIDDLE  ALT=\"%281%2F36%29%2F%281%2F6%29+=+1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Also, P(Q|P) =  P(P&#8745;Q)/P(P) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F36%29%2F%285%2F36%29+=+1%2F5 ALIGN=MIDDLE  ALT=\"%281%2F36%29%2F%285%2F36%29+=+1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Note:  P(P&#8745;Q) = 1/36 because only the outcome (4,4) will satisfy the event P&#8745;Q. </SPAN>\n" );
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