document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=767053>Question 767053</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On a week night, the probability that Sonja watches TV is 0.4. If she watches TV, the probability that she does her homework is 0.3. The probability that she neither watches TV nor does her homework is 0.2. What is the probability that on a week night Sonja does her homework? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467562 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=467562\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The probability that Sonja watches TV on a week night is 0.4.<BR>\n" );
document.write( "If she watches TV, the probability that she does her homework is 0.3.<BR>\n" );
document.write( "So, of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4=4%2F10 ALIGN=MIDDLE  ALT=\"0.4=4%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the week nights that Sonja watches TV, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.3=3%2F10 ALIGN=MIDDLE  ALT=\"0.3=3%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > of those nights she does homework.<BR>\n" );
document.write( "That means that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4%2A0.3=0.12 ALIGN=MIDDLE  ALT=\"0.4%2A0.3=0.12\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the nights Sonja watches TV and does homework,<BR>\n" );
document.write( "while the remaining <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4-0.12=0.28 ALIGN=MIDDLE  ALT=\"0.4-0.12=0.28\"   DISABLED_style= \"max-width:90%; height:auto;\" > fraction of the week nights she just watches TV, but does not do her homework.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Since Sonja watches TV <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4=4%2F10 ALIGN=MIDDLE  ALT=\"0.4=4%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the week nights, that means that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-0.4=0.6 ALIGN=MIDDLE  ALT=\"1-0.4=0.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the week nights she does not watch TV.<BR>\n" );
document.write( "Within that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.6 ALIGN=MIDDLE  ALT=\"0.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the week nights, there is the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.2 ALIGN=MIDDLE  ALT=\"0.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the week nights when she neither watches TV nor does her homework.<BR>\n" );
document.write( "The remaining <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.6-0.2=0.4 ALIGN=MIDDLE  ALT=\"0.6-0.2=0.4\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the week nights, Sonja does not watch TV, but she does her homework.<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-10%2C110%2C-10%2C110%2C%0D%0Arectangle%280%2C0%2C100%2C100%29%2C%0D%0Aline%280%2C60%2C100%2C60%29%2C+line%2870%2C60%2C70%2C100%29%2C%0D%0Aline%2830%2C0%2C30%2C60%29%2Clocate%2880%2C100%2C0.3%29%2C%0D%0Alocate%281%2C85%2C0.4%29%2C%0D%0Alocate%2855%2C35%2Cno%29%2Clocate%2865%2C35%2CTV%29%2Clocate%2860%2C30%2CHW%29%2Clocate%2855%2C25%2C%280.40%29%29%2C%0D%0Alocate%288%2C35%2Cno%29%2Clocate%2816%2C35%2CTV%29%2C%0D%0Alocate%288%2C30%2Cno%29%2Clocate%2816%2C30%2CHW%29%2Clocate%287%2C25%2C%280.20%29%29%2C%0D%0Alocate%2832%2C90%2CTV%29%2Clocate%2827%2C85%2Cno%29%2Clocate%2836%2C85%2CHW%29%2Clocate%2827%2C80%2C%280.28%29%29%2C%0D%0Alocate%2882%2C90%2CTV%29%2Clocate%2875%2C85%2Cand%29%2Clocate%2887%2C85%2CHW%29%2Clocate%2877%2C80%2C%280.12%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Adding up, Sonja does homework <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.12%2B0.4=0.52 ALIGN=MIDDLE  ALT=\"0.12%2B0.4=0.52\"   DISABLED_style= \"max-width:90%; height:auto;\" > (52%) of the week nights.<BR>\n" );
document.write( "The probability that on a week night Sonja does her homework is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.52%29 ALIGN=MIDDLE  ALT=\"highlight%280.52%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (52%). </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );