document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028109>Question 1028109</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bag contains 2 white balls and 3 black balls each of four persons A,B,C, and D in the order named, drawsone ball and does not replace it, the first to draw a white  ball receives $10. Determine the expectation of A,B,C, and D? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643304 by </B><A HREF=/tutors/aboutme.mpl?userid=mathmate><B>mathmate(429)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathmate><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=mathmate><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=643304\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  <BR>\n" );
document.write( "Question:<BR>\n" );
document.write( "A bag contains 2 white balls and 3 black balls each of four persons A,B,C, and D in the order named, drawsone ball and does not replace it, the first to draw a white  ball receives $10. Determine the expectation of A,B,C, and D?<BR>\n" );
document.write( " <BR>\n" );
document.write( "Solution:<BR>\n" );
document.write( "This problem is best solved using a probability tree, which displays clearly the possible outcomes while saving a lot of bookkeeping.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=mathmate&illustration_name=1028109\"><BR>\n" );
document.write( "So in conclusion, the probability as shown in the tree diagram decreases from A to D, in the sequence<BR>\n" );
document.write( "{P(A)=4/10, P(B)=3/10, P(C)=2/10, P(D)=1/10} </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );