document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174251>Question 1174251</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Events A and B are dependent. P(A)= 5/12<BR>\n" );
document.write( " and P(B given A) = 6/11. Find P(A and B).\r<BR>\n" );
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document.write( "Appreciate the help :D </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #799645 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=799645\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p(b given a) = p(a and b) / p(a)\r<BR>\n" );
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document.write( "you have p(a) = 5/12 and you have p(b given a) = 6/11.\r<BR>\n" );
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document.write( "formula becomes 6/11 = p(a and b) / (5/12)\r<BR>\n" );
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document.write( "multiply both sides of this equation by (5/12) to get:<BR>\n" );
document.write( "(6/11) * (5/12) = p(a and b).<BR>\n" );
document.write( "simplify to get 30/132 = p(a and b).<BR>\n" );
document.write( "simplify further to get 5/22 = p(a and b)\r<BR>\n" );
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document.write( "your solution is p(a and b) = 5/22.\r<BR>\n" );
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document.write( "confirm by replacing p(a and b) in the original equation to get:\r<BR>\n" );
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document.write( "p(b given a) = p(a and b) / p(a) becomes 6/11 = 5/22 / (5/12).<BR>\n" );
document.write( "this becomes 6/11 = 5/22 * 12/5 which becomes 6/11 = 12/22.<BR>\n" );
document.write( "simplify to get 6/11 = 6/11 which is true.<BR>\n" );
document.write( "this confirms the value of p(a and b) is good.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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