document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188327>Question 188327</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose you have a 10 by 10 checkerboard with alternating brown and white squares.  If 5 pieces are randomly placed on the checkerboard.<BR>\n" );
document.write( "What is the probability that they will all be in the column #1?<BR>\n" );
document.write( "What is the probability that they will all be in the same column?<BR>\n" );
document.write( "What is the probability that they will all be placed on white squares?<BR>\n" );
document.write( "What is the probability that they will all be placed on squares of the same color?\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #141176 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=141176\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose you have a 10 by 10 checkerboard with alternating brown and white squares. If 5 pieces are randomly placed on the checkerboard.<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "What is the probability that they will all be in the column #1?<BR>\n" );
document.write( "# of ways to place 5 pieces in the 1st column: 10C5<BR>\n" );
document.write( "# of ways to place 5 pieces on the 100 spaces: 100C5<BR>\n" );
document.write( "Ans: 10C5/100C5 = 252/75287520 = 0.000003347..<BR>\n" );
document.write( "----------------------------------------------------------<BR>\n" );
document.write( "What is the probability that they will all be in the same column?<BR>\n" );
document.write( "Ans: 10 times the answer to the previous question.<BR>\n" );
document.write( "-----------------------------------------------------<BR>\n" );
document.write( "What is the probability that they will all be placed on white squares?<BR>\n" );
document.write( "# of ways to place 5 pieces on 50 white: 50C5<BR>\n" );
document.write( "# of ways to place 5 pieces on 100 spaces: 100C5 <BR>\n" );
document.write( "Ans: 50C5/100C5 = 0.0281<BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "What is the probability that they will all be placed on squares of the same color? <BR>\n" );
document.write( "# of ways to pick a color: 2<BR>\n" );
document.write( "Ans: 2 times the answer to the previous question = 0.0563<BR>\n" );
document.write( "========================================================<BR>\n" );
document.write( "If you know a better way to answer the questions you should <BR>\n" );
document.write( "use it.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );