document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120584>Question 1120584</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The probability that Isaac can solve a maths problem is 0.95 and Diana's probability of solving the same problem is 0.92<BR>\n" );
document.write( "a) draw a tree diagram to illustrate all possible outcomes<BR>\n" );
document.write( "b) what is the probability neither of them solves the problem <BR>\n" );
document.write( "c) what is the probability that only one of them solves the problem </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #736927 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</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=736927\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Given:<BR>\n" );
document.write( "P(I) = 0.95<BR>\n" );
document.write( "P(D) = 0.92<br><BR>\n" );
document.write( "So:<BR>\n" );
document.write( "P(I') = 0.05<BR>\n" );
document.write( "P(D') = 0.08<br><BR>\n" );
document.write( "Then<BR>\n" );
document.write( "P(ID) = 0.95*0.92 = 0.874<BR>\n" );
document.write( "P(ID') = 0.95*0.08 = 0.076<BR>\n" );
document.write( "P(I'D) = 0.92*0.05 = 0.046<BR>\n" );
document.write( "P(I'D') = 0.05*0.08 = 0.004<br><BR>\n" );
document.write( "Note the sum of all the probabilities is 1, which means the calculations are correct.<br><BR>\n" );
document.write( "You can answer the questions yourself....<br><BR>\n" );
document.write( "a) drawing in typed text doesn't work very well....<BR>\n" );
document.write( "b) see above<BR>\n" );
document.write( "c) see above </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );