document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1155507>Question 1155507</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two marbles are drawn one after the other without replacement from a bag that contains:<BR>\n" );
document.write( "9 red marbles, 8 blue marbles, and 3 green marbles.<BR>\n" );
document.write( "Find the probability of the following events.\r<BR>\n" );
document.write( "\n" );
document.write( "(a) One red marble and one green marble are drawn in either order.<BR>\n" );
document.write( "The probability is : \r<BR>\n" );
document.write( "\n" );
document.write( "(b) Two blue marbles are drawn.<BR>\n" );
document.write( "The probability is : \r<BR>\n" );
document.write( "\n" );
document.write( "(c) At least one marble is drawn that is not blue.<BR>\n" );
document.write( "The probability is : \r<BR>\n" );
document.write( "\n" );
document.write( "(d) The second marble is green if we know that the first marble is green.<BR>\n" );
document.write( "The probability is:  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #778100 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=778100\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2 ways to do this with equal probability 9/20*3/19 RG <BR>\n" );
document.write( "3/20*9/19 GR<BR>\n" );
document.write( "That is 54/380 or 27/190 =0.142\r<BR>\n" );
document.write( "\n" );
document.write( "BB is 8/20*7/19=56/380 or 14./95=0.147\r<BR>\n" );
document.write( "\n" );
document.write( "Find probability both are blue which is 0.147.  So at least 1 that is not blue is everything else or 0.853\r<BR>\n" );
document.write( "\n" );
document.write( "if first marble is green, there are 19 left, 2 of which are green, so the probability is 2/19=0.105 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );