document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=855770>Question 855770</A>: <I><SPAN STYLE=\"word-break: break-all;\">  please solve this problem if P(A)=0.5, P(B)=0.6 and P(B/A)=0.9 find the probability that i)A & B both happens. ii)at least one of A & B happens. iii)only A happens.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #515575 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=515575\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> please solve this problem if P(A)=0.5, P(B)=0.6 and P(B/A)=0.9 find the probability that <BR>\n" );
document.write( "i)A & B both happens.<BR>\n" );
document.write( "P(A AND B) = P(B|A)*P(A) = 0.9*0.5 = 0.45<BR>\n" );
document.write( "-------------------------------------------------- <BR>\n" );
document.write( "ii)at least one of A & B happens.<BR>\n" );
document.write( "P(at least one of A or B) = 1 - P(neither A nor B) = 1-0.5*0.4 = 1-0.2 = 0.8<BR>\n" );
document.write( "------------------------------------------------- <BR>\n" );
document.write( "iii)only A happens.<BR>\n" );
document.write( "P(A) = 0.5<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );