document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=369966>Question 369966</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three boxess contain marbles, <BR>\n" );
document.write( "first box, 3 red and 5 blue.<BR>\n" );
document.write( "second box, 2 red and 4 yellow.<BR>\n" );
document.write( "third box, 4 red and 2 blue.<BR>\n" );
document.write( "a) Find the probability that a person selected a red marble.<BR>\n" );
document.write( "b) Find the probability that a person selected a red marble, given that the person did not select the third box.\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you for your time and help.  I really appreciate it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #263627 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=263627\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (a) P(red) = P(red AND b1) + P(red AND b2) + P(red AND b3)<BR>\n" );
document.write( "=P(red|b1)*P(b1) + P(red|b2)*P(b2)+P(red|b3)*P(b3)<BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F8%29%2A%281%2F3%29+%2B+%282%2F6%29%2A%281%2F3%29+%2B+%284%2F6%29%2A%281%2F3%29+=+11%2F24 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >, assuming each box is equally likely to be chosen.<BR>\n" );
document.write( "(b)  P(red|~b3) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F8%29%2A%281%2F2%29%2B%282%2F6%29%2A%281%2F2%29+=+17%2F48 ALIGN=MIDDLE  ALT=\"%283%2F8%29%2A%281%2F2%29%2B%282%2F6%29%2A%281%2F2%29+=+17%2F48\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );