document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=382415>Question 382415</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a bag contains 6 cherry 3 orange and 2 lemon candies you reach in and take 3 pieces of candy at random find the probablity that you have all orange candies. I got 0.7272 not sure if that is right.<BR>\n" );
document.write( "B. find the proability that you have 2 cherry and 1 lemon.<BR>\n" );
document.write( "I also got .7272 for this.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #271026 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=271026\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 6+3+2 = 11 candies total\r<BR>\n" );
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document.write( "There are 11 C 3 = 165 different ways to select 3 candies (where order doesn't matter)\r<BR>\n" );
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document.write( "Since there is only one way to choose 3 orange candies (3 C 3 = 1), this means that the probability is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F165=0.0060606060606 ALIGN=MIDDLE  ALT=\"1%2F165=0.0060606060606\"   DISABLED_style= \"max-width:90%; height:auto;\" > which rounds to 0.006\r<BR>\n" );
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document.write( "Again, there are 11 C 3 = 165 different ways to select 3 candies. \r<BR>\n" );
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document.write( "There are 6 C 2 =  15 different ways to select 2 cherry candies and 2 C 1 = 2 different ways to select a single lemon candy.\r<BR>\n" );
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document.write( "So there are 15*2 = 30 different ways to select 2 cherries and a lemon.\r<BR>\n" );
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document.write( "So the probability is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F165=2%2F11=0.18181818 ALIGN=MIDDLE  ALT=\"30%2F165=2%2F11=0.18181818\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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