document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=712566>Question 712566</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (a)the probability that you pass the test if you understand the assignments is 80%(b) the probability of passing the test is 80% <BR>\n" );
document.write( "Are A & B independent events? Justify </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #438082 by </B><A HREF=/tutors/aboutme.mpl?userid=Positive_EV><B>Positive_EV(69)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Positive_EV><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=Positive_EV><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=438082\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A and B are independent iff P(A)*P(B) = P(A and B).\r<BR>\n" );
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document.write( "B is a sub-event of A; that is, B always happens if A happens (If you pass and understand the assignments, then you passed), but it is possible for B to happen without A as well (you pass without understanding the assignments). In other words, P(A and B) = P(A) = .8. P(A)*P(B) = .8*.8 = .64. Since P(A)*P(B) is not equal to P(A and B), the events are not independent. </SPAN>\n" );
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