document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=953354>Question 953354</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If C is the event that a student will stay home to study and D is the event that she will instead go to a movie, P(C) = 0.70, and P(D) = 0.25, find  (a)  P(C');  (b) P(C or D).    </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #582176 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=582176\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p(c) = .7<BR>\n" );
document.write( "p(d) = .25\r<BR>\n" );
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document.write( "these events are mutually exclusive since she can't stay at home and study and go out to see a movie at the same time.\r<BR>\n" );
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document.write( "p(c and d) is therefore equal to 0.\r<BR>\n" );
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document.write( "p(c or d) = p(c) + p(d) - p(c and d) = .7 + .25 - 0 = .95.\r<BR>\n" );
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document.write( "p(c') is the probability that she won't stay home and study.\r<BR>\n" );
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document.write( "p(c') is equal to 1 - p(c) which is equal to 1 - .7 which is equal to .3\r<BR>\n" );
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document.write( "since all the probabilities added together must be equal to 1, she has:\r<BR>\n" );
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document.write( "p(c) = .7<BR>\n" );
document.write( "p(d) = .25<BR>\n" );
document.write( "p(c or d) = .95\r<BR>\n" );
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document.write( "p(c') = 1 - .7 = .3<BR>\n" );
document.write( "p(d') = 1 - .25 = .75<BR>\n" );
document.write( "p(c or d)' = 1 - .95 = .05\r<BR>\n" );
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document.write( "p(c or d)' means the probability that she will not stay home and study and she will not go out to a movies.   in other words, she'll do something else.\r<BR>\n" );
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document.write( "the solution to your problem is:\r<BR>\n" );
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document.write( "p(c') = .3 and p(c or d) = .95.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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