document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1050658>Question 1050658</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bag contains 9 red marbles, 8 white marbles, and 6 blue marbles. Randomly choose two marbles, one at a time, and without replacement. Find the following:<BR>\n" );
document.write( "a) The probability that the first marble is red and the second is white.<BR>\n" );
document.write( "b) The probability that both are the same color.<BR>\n" );
document.write( "c) The probability that the second marble is blue. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #666256 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=666256\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 23 marbles: 9 red marbles, 8 white marbles, and 6 blue marbles<BR>\n" );
document.write( "Draw two, w/o replacement<BR>\n" );
document.write( "a) The probability that the first marble is red and the second is white.<BR>\n" );
document.write( "P = (9/23)(8/22)<BR>\n" );
document.write( "b) The probability that both are the same color. <BR>\n" );
document.write( "P = 2R + 2W + 2B<BR>\n" );
document.write( "P = (9/23)(8/22) + (8/23)(7/22) + (6/23)(5/22)<BR>\n" );
document.write( "c) The probability that the second marble is blue.<BR>\n" );
document.write( "P = (17/23)(6/22) + 2B (Need to consider both are Blue)<BR>\n" );
document.write( "P = .202 + (6/23)(5/22) = .202 + .059 = .261 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );