document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=400727>Question 400727</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 9 marbles in a bag. Some are red, some are white, and some are blue. The probability of selecting a red marble, a white marble, and then a blue marble is 1/21. How many of each color are in the bag? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #284042 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=284042\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Without replacement: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r%2F9%29+%2A+%28w%2F8%29+%2A+%28b%2F7%29+=+1%2F21 ALIGN=MIDDLE  ALT=\"%28r%2F9%29+%2A+%28w%2F8%29+%2A+%28b%2F7%29+=+1%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> rwb = 24 = 2*3*4. <BR>\n" );
document.write( "Since r+w+b = 9, there 6 possibilities for the ordered triple(r,w,b):<BR>\n" );
document.write( "(2,3,4)<BR>\n" );
document.write( "(2,4,3)<BR>\n" );
document.write( "(3,2,4)<BR>\n" );
document.write( "(3,4,2)<BR>\n" );
document.write( "(4,3,2)<BR>\n" );
document.write( "(4,2,3)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "With replacement:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r%2F9%29+%2A+%28w%2F9%29+%2A+%28b%2F9%29+=+1%2F21 ALIGN=MIDDLE  ALT=\"%28r%2F9%29+%2A+%28w%2F9%29+%2A+%28b%2F9%29+=+1%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" >==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=rwb+=+243%2F7 ALIGN=MIDDLE  ALT=\"rwb+=+243%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is impossible, because r,w, b are positive integers satisfying r+ w + b = 9<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );