document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=233019>Question 233019</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Six numbers are chosen at random from the whole numbers between 1 and 16 inclusive, without replacement.<BR>\n" );
document.write( "What is the probability that all the numbers are even?<BR>\n" );
document.write( "What is the probability that all the numbers are odd?<BR>\n" );
document.write( "What is the probability that at least one of the numbers is odd? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #172078 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=172078\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Six numbers are chosen at random from the whole numbers between 1 and 16 inclusive, without replacement.<BR>\n" );
document.write( "What is the probability that all the numbers are even?<BR>\n" );
document.write( "Successful outcomes: 2,4,6,8,10,12,14,16<BR>\n" );
document.write( "P(6 even) = (8C6)/16C6 = 28/8008<BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "What is the probability that all the numbers are odd?<BR>\n" );
document.write( "Successful outcomes: 1,3,5,7,9,11,13,15<BR>\n" );
document.write( "P(6 odd) = same answer as above.<BR>\n" );
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document.write( "What is the probability that at least one of the numbers is odd?<BR>\n" );
document.write( "P(at least one odd) = 1 - P(none is odd) = 1-P(all even) = 1-28/8008<BR>\n" );
document.write( "= 7980/8008<BR>\n" );
document.write( "=====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );