document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=454594>Question 454594</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three different gaming machines are in a line along a wall. The machines guarantee the following outputs with listed probabilities:\r<BR>\n" );
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document.write( "Machine A: P(1)=1/7 ; P(3)=3/7 ; P(7)=3/7<BR>\n" );
document.write( "Machine B: P(4)=1<BR>\n" );
document.write( "Machine C: P(3)=5/9 ; P(6)=4/9\r<BR>\n" );
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document.write( "Suppose that you want to select the game giving the highest average output over a long period of time. Which machine would you select? Why? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #312132 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=312132\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Expectation=n*p<BR>\n" );
document.write( "A:<BR>\n" );
document.write( "1/7 * 1 = 1/7<BR>\n" );
document.write( "3 * 3/7 = 9/7<BR>\n" );
document.write( "7 * 3/7 = 21/7<BR>\n" );
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document.write( "31/7 expectation = 4 3/7<BR>\n" );
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document.write( "B:<BR>\n" );
document.write( "4*1=4 expectation<BR>\n" );
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document.write( "C:<BR>\n" );
document.write( "3 * 5/9 = 15/9<BR>\n" );
document.write( "6 * 4/9 = 24/9<BR>\n" );
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document.write( "39/9 expectation = 4 3/9<BR>\n" );
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document.write( "Select A because it has the highest expectation.<BR>\n" );
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document.write( "Ed<BR>\n" );
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