document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1167451>Question 1167451</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! I am stuck on this question. I'm not sure if I should the percentages to decimals, and add them in order to get the probability. Any help is greatly appreciated. I am really confused! Thank you!\r<BR>\n" );
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document.write( "A survey of the high school graduating class of 2010, conducted by the Bureau of Labor Statistics, found that there was a 68% chance that a randomly selected student would go on to college. Furthermore, they also discovered that if a student went to college, there is 40% chance the student would work at the same time. \r<BR>\n" );
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document.write( "What is the probability that a graduate went to college and work at the same time?\r<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 #792023 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=792023\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Convert the percentages to decimals.   Example: 90% = 0.90  (move the decimal point two places to the left, this is the same as dividing by 100, remember \"per cent\" is \"per 100\")<BR>\n" );
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document.write( "You will need to multiply because you want P(A and B) where A and B are independent events (A being \"going on to college\" and B being \"working while in college\").<BR>\n" );
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document.write( "P(not going to college) = 1-0.68 = 0.32<BR>\n" );
document.write( "P(going to college) = 0.68  (given)<BR>\n" );
document.write( "P(working while in college) = 0.40 (given)<BR>\n" );
document.write( "P(NOT working while in college) = 1-0.40 = 0.60<BR>\n" );
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document.write( "College    Working     Probability<BR>\n" );
document.write( "   No       No           unknown  \___  combined prob is 1-0.68<BR>\n" );
document.write( "   No       Yes          unknown  /<BR>\n" );
document.write( "   Yes      No           (0.68)*(0.60)<BR>\n" );
document.write( "   Yes      Yes          (0.68)*(0.40) = _______   <<< this case is your Answer<BR>\n" );
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document.write( "I encourage you to compute not just the answer but all three probabilities and add them.  The sum should be one(1) because this table covers all possible cases.  \r<BR>\n" );
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