document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=451783>Question 451783</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given P(A) = .40, P(B) = .50, and P(A &#8745; B) = .05, find <BR>\n" );
document.write( "(a) P(A &#8746; B), <BR>\n" );
document.write( "(b) P(A | B), and<BR>\n" );
document.write( "(c) P(B | A). <BR>\n" );
document.write( "(d) Sketch a Venn diagram. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #310642 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=310642\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given P(A) = .40, P(B) = .50, and P(A &#8745; B) = .05, find <BR>\n" );
document.write( "(a) P(A &#8746; B) = P(A) + P(B) - P(A and B) = 0.4+0.5-0.05 = 0.85<BR>\n" );
document.write( "--------------------------------------------------------------- <BR>\n" );
document.write( "(b) P(A | B) = P(A and B)/P(B) = 0.05/0.50 = 0.10<BR>\n" );
document.write( "--------------------------------------------------------<BR>\n" );
document.write( "(c) P(B | A) = P(B and A)/P(A) = 0.05/0.40 = 0.125<BR>\n" );
document.write( "=======================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );