document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=177065>Question 177065</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bag contains a red, a blue, a yellow, a white, and a green ball.  Three balls are drawn out without replacement.  \r<BR>\n" );
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document.write( "a.) What is the probability that the red and yellow ball are selected?\r<BR>\n" );
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document.write( "B.) What is the probability that the two balls are selected in the order listed (red, yellow)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132150 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=132150\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) the number of possible triplets (3) from a group of five is 5C3 (order is NOT important)\r<BR>\n" );
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document.write( "5C3 = 5! / (3! * 2!) = 120 / (6 * 2) = 10\r<BR>\n" );
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document.write( "the red and yellow can be combined with any of the 3 other colors, so there are 3 triplets containing red & yellow\r<BR>\n" );
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document.write( "the probability of red & yellow is 3 in 10 or .3\r<BR>\n" );
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document.write( "b) the number of triplets from a group of 5 if order IS important is 5P3\r<BR>\n" );
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document.write( "5P3 = 5! / 2! = 120 / 2 = 60\r<BR>\n" );
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document.write( "again, the red & yellow can be combined with each of the other 3 colors<BR>\n" );
document.write( "__ but each of the resulting 3 triplets can be arranged in 6 ways (3 * 2 * 1)\r<BR>\n" );
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document.write( "of the 6 ways, only 2 have the red & yellow in the proper order; either preceded by or followed by the 3rd color\r<BR>\n" );
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document.write( "this means that 6 out of the 60 possible triplets have red & yellow in the proper order\r<BR>\n" );
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document.write( "6 in 60 is a probability of .1 </SPAN>\n" );
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