document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=861162>Question 861162</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "I am so confused with marbles probability. Can you solve and let me know how you achieved the answer to the following:<BR>\n" );
document.write( "A box contains 3 white, 2 red, and 4 black marbles. One marble is chosen at random, and it is not black. Find the probability that it is white. (Enter your answer as a fraction.)<BR>\n" );
document.write( "Thank you in advance </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #518916 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=518916\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2B2%2B4=9 ALIGN=MIDDLE  ALT=\"3%2B2%2B4=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > marbles.<BR>\n" );
document.write( "Each marble is as likely to be picked as any other marble.<BR>\n" );
document.write( "Because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F9 ALIGN=MIDDLE  ALT=\"4%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the marbles are black,<BR>\n" );
document.write( "there is a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F9 ALIGN=MIDDLE  ALT=\"4%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > probability to get a black marble.<BR>\n" );
document.write( "There is a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F9 ALIGN=MIDDLE  ALT=\"5%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > probability of getting a marble that is not black.<BR>\n" );
document.write( "Overall, there is a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F9 ALIGN=MIDDLE  ALT=\"3%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > probability of getting a white marble.<BR>\n" );
document.write( "However, out of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F9 ALIGN=MIDDLE  ALT=\"5%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the cases where the marble is not black,<BR>\n" );
document.write( "there is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%2F9%29%29%2F%28%285%2F9%29%29=3%2F5 ALIGN=MIDDLE  ALT=\"%28%283%2F9%29%29%2F%28%285%2F9%29%29=3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > of those cases, when the marble is white.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Look at it this way:<BR>\n" );
document.write( "If you repeat the experiment 9 million times,<BR>\n" );
document.write( "you expect to get a black marble 4 million times.<BR>\n" );
document.write( "The other 5 million times the marble picked will not be black.<BR>\n" );
document.write( "in fact, in 3 million of those cases the marble will be white.<BR>\n" );
document.write( "That is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3million%2F%225+million%22=3%2F5 ALIGN=MIDDLE  ALT=\"3million%2F%225+million%22=3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the cases when the marble is not black. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );