document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1026958>Question 1026958</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose E and F are events in a sample space. Given that Pr(E)=2/3 and Pr(F)=1/3, if Pr (E|F)= 1/2, calculate Pr(F|E).\r<BR>\n" );
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document.write( "I tried to solve this problem and got the answer 1/4 for Pr (F|E). Let me know if this is right!! Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #642223 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=642223\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Suppose E and F are events in a sample space. Given that Pr(E)=2/3 and Pr(F)=1/3, if Pr (E|F)= 1/2, calculate Pr(F|E). <BR>\n" );
document.write( "I tried to solve this problem and got the answer 1/4 for Pr (F|E). Let me know if this is right!! <BR>\n" );
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document.write( "Pr(E)=2/3 and Pr(F)=1/3, if Pr (E|F)= 1/2<BR>\n" );
document.write( "P(E|F) = P(F and E)/P(F) = 1/2<BR>\n" );
document.write( "So, P(F and E) = (1/2)*P(F) = (1/2)(1/3) = 1/6<BR>\n" );
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document.write( "Your Problem::<BR>\n" );
document.write( "P(F|E) = P(F and E)/P(E) = (1/6)/(2/3) = 1/4<BR>\n" );
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document.write( "You are correct.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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