document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=472389>Question 472389</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help please!<BR>\n" );
document.write( "Three people are selected at random from five females and nine males. Find the probability of the following. (to three decimal places.)\r<BR>\n" );
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document.write( "a) At least one is a male.<BR>\n" );
document.write( "b) At most two are male. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #323908 by </B><A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><B>sudhanshu_kmr(1152)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><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=sudhanshu_kmr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=323908\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5 females and 9 males\r<BR>\n" );
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document.write( "Number of ways to select 3 out of total 14 = 14C3= 364\r<BR>\n" );
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document.write( "a) number of ways to select 3 when all are female = 5C3 = 10<BR>\n" );
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document.write( " probability that all are females P(A) = 10/364\r<BR>\n" );
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document.write( " probability that at least one is male P'(A)= 1 - 10/364 \r<BR>\n" );
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document.write( "= 354/364 <BR>\n" );
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document.write( "= 0.9725\r<BR>\n" );
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document.write( "b) number of ways to select 3 when all there are male = 9C3 = 84\r<BR>\n" );
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document.write( "probability that all are male P(B) = 84/364\r<BR>\n" );
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document.write( " probability that at most 2 are male P'(B)= 1 - 84/364 \r<BR>\n" );
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document.write( "= 280/364 <BR>\n" );
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document.write( "= 0.76923 (approx)\r<BR>\n" );
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document.write( "  <BR>\n" );
document.write( "May be some calculation mistakes, try to solve it yourself. <BR>\n" );
document.write( "if any doubt please contact....<BR>\n" );
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