document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154182>Question 1154182</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If A & B are events with<BR>\n" );
document.write( "P(A)=0.4 , P(B)=0.2 , P(AnB)=0.1 ,<BR>\n" );
document.write( "a. what Is Probability Of A given B ?<BR>\n" );
document.write( "b. what is Probability Of B given A ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #776567 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=776567\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "When the information is given in this form, use the definition of conditional probability directly.<br><BR>\n" );
document.write( "P(A|B) is the probability that A (also) occurs, given that B occurs.  So the numerator of the probability fraction is the probability that both A and B occur, and the denominator is the probability that B occurs.<br><PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "            P(AnB)\r\n" );
document.write( "  P(A|B) = --------\r\n" );
document.write( "             P(B)</PRE><BR>\n" );
document.write( "For this problem...<br><BR>\n" );
document.write( "a. P(A|B) = 0.1/0.2 = 0.5<BR>\n" );
document.write( "b. P(B|A) = 0.1/0.4 = 0.25<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );