document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=873612>Question 873612</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that E and F are two mutually exclusive events with the following probabilities: P(A)=0.47 and P(A or B)=0.53\r<BR>\n" );
document.write( "\n" );
document.write( "a) What is the probability of event B? \r<BR>\n" );
document.write( "\n" );
document.write( "b) Are the events A and B independent? \r<BR>\n" );
document.write( "\n" );
document.write( "Could you explain this questions when you answer them. Don't understand. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #526980 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=526980\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mutually exclusive means they can't happen at the same time and <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28A_or_B%29=P%28A%29%2BP%28B%29 ALIGN=MIDDLE  ALT=\"P%28A_or_B%29=P%28A%29%2BP%28B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In this case,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.53=0.47%2BP%28B%29 ALIGN=MIDDLE  ALT=\"0.53=0.47%2BP%28B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28B%29=0.06 ALIGN=MIDDLE  ALT=\"P%28B%29=0.06\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "If two events are independent, then <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28A_and_B%29=P%28A%29%2AP%28B%29 ALIGN=MIDDLE  ALT=\"P%28A_and_B%29=P%28A%29%2AP%28B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "However in this case, since they're mutually exclusive, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28A_and_B%29=0 ALIGN=MIDDLE  ALT=\"P%28A_and_B%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3C%3E0.43%280.06%29 ALIGN=MIDDLE  ALT=\"0%3C%3E0.43%280.06%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So they are not independent. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );