document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=844759>Question 844759</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A fair coin is tossed three times, and a player wins $3 if 3 tails occur, wins $2 if 2 tails occur and loses $3 if no tails occur. If one tail occurs, no one wins. What is the expected value of the games? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #508908 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=508908\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A fair coin is tossed three times, and a player wins $3 if 3 tails occur, wins $2 if 2 tails occur and loses $3 if no tails occur. If one tail occurs, no one wins. What is the expected value of the games?<BR>\n" );
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document.write( "Random number values::......3.......2.......1......0<BR>\n" );
document.write( "Matching probabilities::....1/8.....2/8.....2/8....4/8\r<BR>\n" );
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document.write( "E(x) = (3 + 2*2 + 2*1 + 4*0)/8 = (3+4+2+0)/8 = 9/8 = $1.12<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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