document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=291857>Question 291857</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A room contains five men and four women. Two people are selected at random with no replacements between selections.<BR>\n" );
document.write( "1. Find the probability that the first person selected is a man and the second is a woman.<BR>\n" );
document.write( "2. Find the probability that all the people selected are men.<BR>\n" );
document.write( "3. Find the probability that the second person selected is a woman, given that the first to be selected was a woman.<BR>\n" );
document.write( "4. Find the probability that one man and one woman are selected. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #211062 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=211062\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A room contains five men and four women. Two people are selected at random with no replacements between selections.<BR>\n" );
document.write( "1. Find the probability that the first person selected is a man and the second is a woman.<BR>\n" );
document.write( "Ans: (5/9)(4/8) = 20/72 = 5/18<BR>\n" );
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document.write( "2. Find the probability that all the people selected are men.<BR>\n" );
document.write( "Ans: 5C2/9C2 = 10/36 = 5/18<BR>\n" );
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document.write( "3. Find the probability that the second person selected is a woman, given that the first to be selected was a woman.<BR>\n" );
document.write( "Ans: P(w|w) = P(2 women)/P(women) = [4C2/9C2]/[4/9] = (6/36)/(4/9) = 3/8<BR>\n" );
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document.write( "4. Find the probability that one man and one woman are selected.<BR>\n" );
document.write( "P(1m and 1 w) = 1-[P(2men)+P(2women)] = 1-[(5/18)+(1/6)] = 10/18 = 5/9<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );