document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=765574>Question 765574</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this question: \r<BR>\n" );
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document.write( "A game involves rolling a die once. If a number less than 3 appears,you lose $60. If a 4 or 6 appears,you win $120. If a 5 appears,nothing happens.\r<BR>\n" );
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document.write( "A.) show the probability distribution for the money.<BR>\n" );
document.write( "B.) calculate the expected monetary value of the game.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #466306 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=466306\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your probabilities are incomplete.<BR>\n" );
document.write( "there is no condition for a value of 3 being chosen.<BR>\n" );
document.write( "i will assume that if a 3 or a 5 appears, nothing happens.<BR>\n" );
document.write( "that makes the probabilities come out correctly.<BR>\n" );
document.write( "p(<3) = 2/6<BR>\n" );
document.write( "p(4 or 6) = 2/6<BR>\n" );
document.write( "p(3 or 5) = 2/6<BR>\n" );
document.write( "your expected value is:<BR>\n" );
document.write( "2/6 * -60 + 2/6 * 120 + 0 which is equal to -120/6 + 240/6 = 120/6 = 20.<BR>\n" );
document.write( "on the average, if you play the game an infinite number of times, you should collect 20 dollars each time.<BR>\n" );
document.write( "example:<BR>\n" );
document.write( "you play the game 1200 times.<BR>\n" );
document.write( "2/6 * 1200 = 2400/6 = 400 times you will lose 60 dollars.<BR>\n" );
document.write( "400 times you will win 120 dollars<BR>\n" );
document.write( "400 times you will get nothing.<BR>\n" );
document.write( "your total winning is 400 * 120 = 48,000.<BR>\n" );
document.write( "your total losing is 400 * 60 = 24,000<BR>\n" );
document.write( "your net gain is 24,000<BR>\n" );
document.write( "divide that by 1200 and you have average a net gain of 20 per game.\r<BR>\n" );
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