document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=355589>Question 355589</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If A and B are independent events, P(A) = 0.4, and P(B) = 0.6, find the probabilities below.\r<BR>\n" );
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document.write( "(a)    P(A intersection B)\r<BR>\n" );
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document.write( "(b)    P(A union B) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #782302 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=782302\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "<font color=red size=4>Answers</font><BR>\n" );
document.write( "(a) <font color=red size=4>0.24</font><BR>\n" );
document.write( "(b) <font color=red size=4>0.76</font>\r<BR>\n" );
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document.write( "Work Shown\r<BR>\n" );
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document.write( "Part (a)\r<BR>\n" );
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document.write( "P(A intersection B) = P(A)*P(B) ... only works if A and B are independent\r<BR>\n" );
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document.write( "P(A intersection B) = 0.4*0.6\r<BR>\n" );
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document.write( "P(A intersection B) = 0.24\r<BR>\n" );
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document.write( "Note: the other tutor seemed to have mixed up some formulas. Perhaps they were thinking about P(A union B) = P(A)+P(B). This formula only works if A and B are disjoint or mutually exclusive.\r<BR>\n" );
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document.write( "Part (b)\r<BR>\n" );
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document.write( "P(A union B) = P(A) + P(B) - P(A intersection B)\r<BR>\n" );
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document.write( "P(A union B) = 0.4 + 0.6 - 0.24\r<BR>\n" );
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document.write( "P(A union B) = 0.76<BR>\n" );
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