document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=762630>Question 762630</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a box contains 6 white counters and 5 yellow counters. a counter is picked at random from the box and replaced. a second counter is then picked and a third counter is also picked. find the probability that a) the third counter is white given that the first counter is white b) all the counters are yellow c) the counters are of different colours </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #464106 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=464106\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a box contains 6 white counters and 5 yellow counters. a counter is picked at random from the box and replaced. a second counter is then picked and a third counter is also picked. find the probability that<BR>\n" );
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document.write( "Note: Because of \"replacement\" the events are independent.<BR>\n" );
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document.write( "a) the third counter is white given that the first counter is white<BR>\n" );
document.write( "The 3rd selection is not affected by the 1st selection.<BR>\n" );
document.write( "Ans: 6/11<BR>\n" );
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document.write( "b) all the counters are yellow<BR>\n" );
document.write( "Ans: (5/11)^3 <BR>\n" );
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document.write( "c) the counters are of different colours<BR>\n" );
document.write( "Note: With 3 selections there must be two counters of the same color.<BR>\n" );
document.write( "Ans: 0<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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