document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=473930>Question 473930</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help!\r<BR>\n" );
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document.write( "A shipment of 11 televisions contains 4 regular and 7 deluxe models. The manufacturer failed to mark the model designation on the cartons. If 3 cartons are selected at random, what is the probability that exactly 2 of them are the deluxe model? (to three decimal places.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #325062 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><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=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=325062\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solution:-\r<BR>\n" );
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document.write( "Regular	1	<BR>\n" );
document.write( "Deluxe	2		<BR>\n" );
document.write( "Total   3	\r<BR>\n" );
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document.write( "Now<BR>\n" );
document.write( "Using nCr=n! /(n-r)! r!\r<BR>\n" );
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document.write( "3 things can be chosen out of 11 	= 11C3 ways.<BR>\n" );
document.write( "					= 11!/(11-3)!3!<BR>\n" );
document.write( "					= 11!/ 8!3!<BR>\n" );
document.write( "					=(11*10*9*8!) / (8! * 3*2*1)<BR>\n" );
document.write( "					= (11*10*9) /(3*2*1)<BR>\n" );
document.write( "					= 990 /6<BR>\n" );
document.write( "					= 165 ways<BR>\n" );
document.write( "1 Regular can be chosen out of 4 	= 4C1 <BR>\n" );
document.write( "  	= 4! /(4-1)!1!<BR>\n" );
document.write( "  	=4*3!/3!1!<BR>\n" );
document.write( "   	= 4 ways <BR>\n" );
document.write( "2 Delux can be chosen out of 7 		= 7C2<BR>\n" );
document.write( "					=7!/(7-2)!2!<BR>\n" );
document.write( "					=7!/5!2!<BR>\n" );
document.write( "					=7*6*5!/5!2!<BR>\n" );
document.write( "					=7*6/2<BR>\n" );
document.write( "					=42/2<BR>\n" );
document.write( "					=21 ways\r<BR>\n" );
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document.write( "P(exactly 2 are deluxe model)		=  (7C2 * 4C1) / 11C3<BR>\n" );
document.write( "					= (21*4) /165		<BR>\n" );
document.write( "					=84/165<BR>\n" );
document.write( "					=0.509<BR>\n" );
document.write( " </SPAN>\n" );
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