document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=773816>Question 773816</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove that if V and W are two independent events such that V is a subset of W, then either P(V) = 0 or P(W) = 1. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #471861 by </B><A HREF=/tutors/aboutme.mpl?userid=oscargut><B>oscargut(2103)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oscargut><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=oscargut><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=471861\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Prove that if V and W are two independent events such that V is a subset of W, then either P(V) = 0 or P(W) = 1.\r<BR>\n" );
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document.write( "Solution:\r<BR>\n" );
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document.write( "if V and W are two independent events then P(V and W)=P(V)P(W)\r<BR>\n" );
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document.write( "if  V is a subset of W  then  \"V and W\" = \"V\" then  P(V and W) = P(V)\r<BR>\n" );
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document.write( "Then:  P(V)=P(V)P(W)\r<BR>\n" );
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document.write( "P(V)=0 or P(V) is not 0\r<BR>\n" );
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document.write( "If P(V) is not 0 then  P(W)=1\r<BR>\n" );
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document.write( "Then  P(V)=0 or P(W)=1\r<BR>\n" );
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document.write( "If you have more questions you can ask me at mthman@gmail.com\r<BR>\n" );
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document.write( "Thanks<BR>\n" );
document.write( " </SPAN>\n" );
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