document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=14601>Question 14601</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A class of twenty students consists of eight males and twelve females. Two students are selected at random. By considering the events A=' the first student is male' and B= 'the second student is male' evaluate the possibilities of these events:\r<BR>\n" );
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document.write( "a) C= 'both students are male'<BR>\n" );
document.write( "b) D= 'both students are female'<BR>\n" );
document.write( "c) E= 'one male and one female chosen'\r<BR>\n" );
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document.write( "Please could you help me with the question above, I know that the probability of selecting a male first is 8/20 and selecting second is 7/19, but would appreciate it if someone could help me how to work out the other events.\r<BR>\n" );
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document.write( "Thanks\r<BR>\n" );
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document.write( "Sam </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #7299 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=7299\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P(both male) = 8/20 * 7/19 = 14/95\r<BR>\n" );
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document.write( "P(both female) = 12/20 * 11/19 = 33/95\r<BR>\n" );
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document.write( "P(one male and one female) is all the other possibilities, so if you are feeling secure in your maths skills, you can just say 1 - (14/95 + 33/95)\r<BR>\n" );
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document.write( "--> 1 - (47/95)<BR>\n" );
document.write( "--> 48/95\r<BR>\n" );
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document.write( "Now, if you didn't know this, you would just have to work it out fully as:\r<BR>\n" );
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document.write( "P(first male then female) + P(first female then male)<BR>\n" );
document.write( "(8/20 * 12/19) + (12/20 * 8/19)<BR>\n" );
document.write( "24/95 + 24/95<BR>\n" );
document.write( "48/95\r<BR>\n" );
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document.write( "jon.<BR>\n" );
document.write( " </SPAN>\n" );
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