document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1160213>Question 1160213</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A coin is flipped 3 times. If you get no tail you win nothing, tails once you get $5, tails <BR>\n" );
document.write( "twice you get $15, and tails on all three flips you get $40. <BR>\n" );
document.write( "a. List the probability distribution of the amount you win<BR>\n" );
document.write( "b. What is the expected amount of money you will get? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #783468 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=783468\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "HHH<br><BR>\n" );
document.write( "HHT<BR>\n" );
document.write( "HTH<BR>\n" );
document.write( "TTH<br><BR>\n" );
document.write( "HTT<BR>\n" );
document.write( "THT<BR>\n" );
document.write( "TTH<br><BR>\n" );
document.write( "TTT<br><BR>\n" );
document.write( "a. Probabilities....<br><BR>\n" );
document.write( "0 tails: 1 way out of 8 total: P(0) = 1/8<BR>\n" );
document.write( "1 tails: 3 ways out of 8 total: P(1) = 3/8<BR>\n" );
document.write( "2 tails: 3 ways out of 8 total: P(2) = 3/8<BR>\n" );
document.write( "3 tails: 1 way out of 8 total: P(3) = 1/8<br><BR>\n" );
document.write( "b. Expected payout<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F8%29%2A0%2B%283%2F8%29%2A5%2B%283%2F8%29%2A15%2B%281%2F8%29%2A40+=+0%2B15%2F8%2B45%2F8%2B5+=+12.5 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The expected winnings are $12.50.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );