document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=611529>Question 611529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Single cards chosen at random are given away with boxes of Weetbix. Each card shows a picture of one of 25 All Blacks. Diane needs just one picture to complete her collection. She buys 3 boxes of Weetbix and looks at all the pictures. Find the probability that<BR>\n" );
document.write( "a) Diane does not complete her collection.<BR>\n" );
document.write( "b) She has the required picture exactly twice<BR>\n" );
document.write( "c) She completes her collection with the second picture she looks at </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #384997 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=384997\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Single cards chosen at random are given away with boxes of Weetbix. Each card shows a picture of one of 25 All Blacks. Diane needs just one picture to complete her collection. She buys 3 boxes of Weetbix and looks at all the pictures.<BR>\n" );
document.write( "Binomial Problem with n = 3 and p(needed pic) = 1/25 ; P(other pic) = 24/25<BR>\n" );
document.write( "-----------------------\r<BR>\n" );
document.write( "\n" );
document.write( "Find the probability that:<BR>\n" );
document.write( "a) Diane does not complete her collection.<BR>\n" );
document.write( "Ans : (24/25)^3 = 0.885<BR>\n" );
document.write( "------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "b) She has the required picture exactly twice<BR>\n" );
document.write( "Ans: 3C2*(1/25)^2(24/25) = binompdf(3,1/25,2) = 0.0046\r<BR>\n" );
document.write( "\n" );
document.write( "c) She completes her collection with the second picture she looks at<BR>\n" );
document.write( "Ans: (24/25)(1/25) = 24/625<BR>\n" );
document.write( "=================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );