document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1112689>Question 1112689</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company sells pencils that are painted blue or green. A package of three pencils from this company has a random mix of these pencils. A person used a simulation to determine the probability that exactly 2 of the 3 pencils in a package are painted green. A coin was used for the simulation, where the side labeled with a “B” represented blue, and the side labeled with a “G” represented green. The results of 30 trials of the simulation are shown below.\r<BR>\n" );
document.write( "\n" );
document.write( "GBG	BBG	BGG	BBB	GBB	GGG<BR>\n" );
document.write( "BBB	BGB	BBG	BGG	BGG	BBG<BR>\n" );
document.write( "GBB	GGG	BBG	BBB	BGB	GGB<BR>\n" );
document.write( "BBG	GGB	BBG	GGG	GGG	GBB<BR>\n" );
document.write( "GGB	BBB	GGB	BBG	GGG	BGG<BR>\n" );
document.write( "Based on the simulation, what is the probability that exactly 2 of the 3 pencils in a package are painted green?\r<BR>\n" );
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document.write( "A.9/30<BR>\n" );
document.write( "B.14/30<BR>\n" );
document.write( "C.12/30<BR>\n" );
document.write( "D.16/30 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #727721 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=727721\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A company sells pencils that are painted blue or green. A package of three pencils from this company has a random mix of these pencils. A person used a simulation to determine the probability that exactly 2 of the 3 pencils in a package are painted green. A coin was used for the simulation, where the side labeled with a “B” represented blue, and the side labeled with a “G” represented green. The results of 30 trials of the simulation are shown below. <BR>\n" );
document.write( "GBG	BBG	BGG	BBB	GBB	GGG<BR>\n" );
document.write( "BBB	BGB	BBG	BGG	BGG	BBG<BR>\n" );
document.write( "GBB	GGG	BBG	BBB	BGB	GGB<BR>\n" );
document.write( "BBG	GGB	BBG	GGG	GGG	GBB<BR>\n" );
document.write( "GGB	BBB	GGB	BBG	GGG	BGG<BR>\n" );
document.write( "Based on the simulation, what is the probability that exactly 2 of the 3 pencils in a package are painted green? <BR>\n" );
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document.write( "Ans:: Count the number of triples that have exactly 2 G's.<BR>\n" );
document.write( "That is the numerator of the correct answer.<BR>\n" );
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document.write( "A.9/30<BR>\n" );
document.write( "B.14/30<BR>\n" );
document.write( "C.12/30<BR>\n" );
document.write( "D.16/30 <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" );