document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=137291>Question 137291</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Confused...Please Help!\r<BR>\n" );
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document.write( "The probability that a student has a Visa card (event V) is .70. The probability that a student has a<BR>\n" );
document.write( "MasterCard (event M) is .60. The probability that a student has both cards is .50. (a) Find the probability<BR>\n" );
document.write( "that a student has either a Visa card or a MasterCard. (b) In this problem, are V and M independent?<BR>\n" );
document.write( "Explain. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100439 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=100439\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The probability that a student has a Visa card (event V) is .70. The probability that a student has a MasterCard (event M) is .60. <BR>\n" );
document.write( "The probability that a student has both cards is .50.<BR>\n" );
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document.write( "(a) Find the probability that a student has either a Visa card or a MasterCard.<BR>\n" );
document.write( "The key word here is OR.<BR>\n" );
document.write( "P(V or M) = P(V)+P(M)-P(V and M)<BR>\n" );
document.write( "P(M or M) = 0.60 + 0.7 - 0.5 = 0.8<BR>\n" );
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document.write( " (b) In this problem, are V and M independent? Explain.\r<BR>\n" );
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document.write( "We don't know if they are independent.<BR>\n" );
document.write( "To check that you would have to compare P(V)*P(M) and P(V)*P(M|V)<BR>\n" );
document.write( "But we don't know P(M|V) so we cannot judge on independence.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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