document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1020243>Question 1020243</A>: <I><SPAN STYLE=\"word-break: break-all;\"> . A student estimates that the probability for him to get a scholarship is 0.8 if he scores a grade A in Statistics and 0.1 if he gets a grade C in Statistics. However the chances for him to get grade A in Statistics is 0.1 and grade B is 0.3<BR>\n" );
document.write( "a) Draw a tree diagram to represent the above situation<BR>\n" );
document.write( "b) What is the probability that he will get a scholarship<BR>\n" );
document.write( "c) If the students get a scholarship, what is the probability that he obtains a grade B in Statistics<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #636166 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=636166\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You don't have enough information to calculate the probability.<BR>\n" );
document.write( "Look at the possible outcomes.<BR>\n" );
document.write( "The first letter is the statistics grade.<BR>\n" );
document.write( "The second letter denotes scholarship yes or no.<BR>\n" );
document.write( "AY AN<BR>\n" );
document.write( "BY BN<BR>\n" );
document.write( "CY CN<BR>\n" );
document.write( "DY DN<BR>\n" );
document.write( "FY FN<BR>\n" );
document.write( "However the only probability you can compute is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28AY%29=0.1%280.8%29=0.08 ALIGN=MIDDLE  ALT=\"P%28AY%29=0.1%280.8%29=0.08\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28AN%29=0.1%280.2%29=0.02 ALIGN=MIDDLE  ALT=\"P%28AN%29=0.1%280.2%29=0.02\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You don't know the probability of him getting a B, D, or F.<BR>\n" );
document.write( "You also don't know the probability of him getting a scholarship if he scores a C, D, or F. \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );