document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1077087>Question 1077087</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The probability tha a student does his homework 0.1, if he goes out with friends,and 0.6 if he does not go out with friends.the probability that a student goes out with friends is 0.75.What is the probability that the student does his homework? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #691716 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=691716\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> probability that he does his homework given that he goes out with his friends is .1\r<BR>\n" );
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document.write( "probability that he does his homework given that he does not go out with his friends is .6\r<BR>\n" );
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document.write( "probability that he goes out with his friends is .75.<BR>\n" );
document.write( "probability that he does not go out with his friends is .25.\r<BR>\n" );
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document.write( "probability that he does his homework is equal to .75 * .1 + .25 * .6 = .225\r<BR>\n" );
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document.write( "since probabilities and percentages are related, you can look at this as a percentage type problem.\r<BR>\n" );
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document.write( "suppose he has 1000 homework assignments.\r<BR>\n" );
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document.write( "75% of the time he goes out with his friends = 750 times.<BR>\n" );
document.write( "25% of the time he doesn't go out with his friends - 250 times.\r<BR>\n" );
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document.write( "he does his homework 10% of the 750 times = 75 times.<BR>\n" );
document.write( "he does his homework 60% of the 250 times = 150 times.\r<BR>\n" );
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document.write( "the total number of times he does his homework is 225.\r<BR>\n" );
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document.write( "225/1000 = .225 = 22.5% of the time.\r<BR>\n" );
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document.write( "probability that he does his homework is equal to .225 = 22.5%.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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