document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188341>Question 188341</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A board game is played with wooden pieces, where each piece shows a number on one side.  There are 42 pieces altogether, and each piece shows a number from  1 to 42.  Each number from 1 to 42 is on exactly one piece.)  To begin the game you randomly select 5 pieces.\r<BR>\n" );
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document.write( "How many possibilities are there for the numbers you begin with ie in how many different ways can you choose your 5 pieces-the answer is C(42,5)  = 850668<BR>\n" );
document.write( "The odd numbered pieces are painted blue and the even numbered pieces are painted white.  In how many ways could you select your pieces so that they are all white-the answer is C(21,5) = 20349\r<BR>\n" );
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document.write( "this is the one I can not get<BR>\n" );
document.write( "What is the probability that all the pieces you select are white (your answer must be accurate to 4 decimal places)?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #141186 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=141186\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Goudy Old Style\" size=\"+2\">\r<BR>\n" );
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document.write( "There are 21 white pieces out of 42 total pieces, so the probability that the first one you pick will be white is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{21}{42}\">\r<BR>\n" );
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document.write( "Given that you pick a white piece the first time, there are then 20 white pieces left out of 41 total pieces, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{20}{41}\">\r<BR>\n" );
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document.write( "and so on...\r<BR>\n" );
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document.write( "Your total probability for 5 white pieces is then:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{21}{42} \times \frac{20}{41} \times \frac{19}{40} \times \frac{18}{39} \times \frac{17}{38}\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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