document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=383030>Question 383030</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Bag A contains 2 white and 3 red balls and bag B<BR>\n" );
document.write( "contains 4 white and 5 red balls. One ball is d.rawn<BR>\n" );
document.write( "at random from one of the bags and is found to<BR>\n" );
document.write( "be red. Find the probability that it was drawn<BR>\n" );
document.write( "from bag A. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #271323 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=271323\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the bags are randomly chosen the probability that bag A is chosen is 1/2 each time.<BR>\n" );
document.write( "Probability of a red from A = 3/5, from B = 5/9<BR>\n" );
document.write( ".<BR>\n" );
document.write( "1/2 * 3/5 = 3/10<BR>\n" );
document.write( "1/2 * 5/9 = 5/18<BR>\n" );
document.write( ".<BR>\n" );
document.write( "3/10 = 27/90<BR>\n" );
document.write( "5/18 = 25/90<BR>\n" );
document.write( ".<BR>\n" );
document.write( "27/(27+25)<BR>\n" );
document.write( "=27/52 probability that it was drawn from bag A.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );