document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=334547>Question 334547</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the following probabilities:<BR>\n" );
document.write( "(A)Events A and B are mutually exclusive events defined on a common sample space.  If P(A)= 0.4 and P(AorB)=0.75, find P(B).  <BR>\n" );
document.write( "(B) Events A and B are defined on a common sample space.  If P(A)= 0.40, P(B)= 0.50 and P(AorB)= 0.72, find P(AandB).<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 #239746 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><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=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=239746\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P(A or B)=P(A)+P(B)-P(A and B)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "a)Events A and B are mutually exclusive events defined on a common sample space. If P(A)= 0.4 and P(AorB)=0.75, find P(B).<BR>\n" );
document.write( "Mutually exclusive means both cannot happen thus P(A and B)=0<BR>\n" );
document.write( "therefore <BR>\n" );
document.write( "P(A or B)=P(A)+P(B)-P(A and B)=P(A)+P(B)<BR>\n" );
document.write( "0.75=0.4+P(B)<BR>\n" );
document.write( "P(B)=0.75-0.4=0.35<BR>\n" );
document.write( "--- <BR>\n" );
document.write( "b) Events A and B are defined on a common sample space. If P(A)= 0.40, P(B)= 0.50 and P(AorB)= 0.72, find P(AandB).<BR>\n" );
document.write( "P(A or B)=P(A)+P(B)-P(A and B)<BR>\n" );
document.write( "P(A and B)=P(A)+P(B)-P(A or B)=0.40+0.50-0.72=0.18 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );