document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=345519>Question 345519</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If I know P(A^B), how do I get P(A^Bcomplement)...where ^ means intersection ....for example<BR>\n" );
document.write( "P(A) = P(B)_= 1/3 and P(A^B) = to 1/10<BR>\n" );
document.write( "What is (a) P(A U Bcomplement)<BR>\n" );
document.write( "        (b) P(B^Acomplement)<BR>\n" );
document.write( "        (c) P(Acomplement U Bcomplement) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #247119 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=247119\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If I know P(A^B), how do I get P(A^Bcomplement)...where ^ means intersection ....<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "P(A) + P(A comp) = 1<BR>\n" );
document.write( "So, P(A comp) = 1-P(A)<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "P(A^B comp) = 1 - P(A^B)<BR>\n" );
document.write( "--------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "for example<BR>\n" );
document.write( "P(A) = P(B)_= 1/3 and P(A^B) = to 1/10<BR>\n" );
document.write( "What is (a) P(A U Bcomplement)<BR>\n" );
document.write( "Find P(AUB)<BR>\n" );
document.write( "P(AUB) = P(A)+P(B)-P(A^B)<BR>\n" );
document.write( "= 1/3 + 1/3 - 1/10<BR>\n" );
document.write( "= (2/3)-(1/10)<BR>\n" );
document.write( "= (20-3)/30 = 17/30<BR>\n" );
document.write( "---<BR>\n" );
document.write( "The P(AUB comp) = 13/30<BR>\n" );
document.write( "=============================\r<BR>\n" );
document.write( "\n" );
document.write( "(b) P(B^Acomplement) = P(B-(A^B))<BR>\n" );
document.write( "= P(B)-P(A^B)<BR>\n" );
document.write( "= P(B)-[P(A)+P(B)-P(AUB)]<BR>\n" );
document.write( "= P(AUB)-P(A) <BR>\n" );
document.write( "= (17/30)-(1/3)<BR>\n" );
document.write( "= 7/30<BR>\n" );
document.write( "===============\r<BR>\n" );
document.write( "\n" );
document.write( "(c) P(Acomplement U Bcomplement)<BR>\n" );
document.write( "= 1-P(A^B)<BR>\n" );
document.write( "= 1-[P(A)+P(B)-P(AUB)]<BR>\n" );
document.write( "= 1-[1/3 + 1/3 - (17/30)]<BR>\n" );
document.write( "= 1-[(20/30)-(17/30)]<BR>\n" );
document.write( "= 1 - 1/10<BR>\n" );
document.write( "= 9/10<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" );