document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128415>Question 1128415</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bird breeder has a total of 50 canaries, 21 are male and 29 are female. a pet shop randomly selects 8 of them. <BR>\n" );
document.write( "1. probability that none of the eight are female?<BR>\n" );
document.write( "2. probability that five of the eight are male? <BR>\n" );
document.write( "3. probability that at least 6 of the 8 are female? <BR>\n" );
document.write( "4. probability that at least two of the eight are males?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #744871 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=744871\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The number of ways to choose 8 is 50C8 or 536878650<BR>\n" );
document.write( "21C8 are the number of ways to choose 8 males, so 1. probability is 0.000379 or 0.0004<BR>\n" );
document.write( "2. five of eight male, 3 female has a numerator of 21C5*29C3, and probability is 0.1385<BR>\n" );
document.write( "3. This would be 21C2*29C6 for the numerator, and probability is 0.1858.<BR>\n" );
document.write( "4. Look at probability of 1 a male and 0 a male and subtract that sum from 1.<BR>\n" );
document.write( "21C1*29C7/50C8=0.0610 and 21C0*29C8/50C8=0.008, sum is 0.1410 and the overall probability of at least 2 males is 0.8590 </SPAN>\n" );
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