document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=237221>Question 237221</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A vase contains 7 red and 3 blue marbles. 3 marbles are drawn at random without replacement. Find the probability of drawing the first 2 as red and the third marble as blue </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #174491 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=174491\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can think of this as three independent drawings, and calculate each probability GIVEN that the previous drawings have taken place.  The probability is then the PRODUCT of these three probabilities.\r<BR>\n" );
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document.write( "The probability of drawing a red marble on the first draw is 7/10.\r<BR>\n" );
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document.write( "The probability of drawing a red marble on the second draw given that the first draw was red is 6/9, since there are 6 red marbles left out of 9 total marbles.\r<BR>\n" );
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document.write( "The probability of drawing a blue marble on the THIRD draw given that the first two marbles were red (remember now that 2 reds were removed, leaving all 3 blue marbles out of 8 remaining marbles!) will be 3/8.\r<BR>\n" );
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document.write( "Total probability =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2F10%29%2A%286%2F9%29%2A%283%2F8%29 ALIGN=MIDDLE  ALT=\"%287%2F10%29%2A%286%2F9%29%2A%283%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2F10%29%2A%282%2F3%29%2A%283%2F8%29 ALIGN=MIDDLE  ALT=\"%287%2F10%29%2A%282%2F3%29%2A%283%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42%2F240 ALIGN=MIDDLE  ALT=\"42%2F240\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Reduce the fraction by dividing out a 6:<BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F40 ALIGN=MIDDLE  ALT=\"7%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Dr. Robert J. Rapalje, Retired<BR>\n" );
document.write( "Seminole State College of Florida<BR>\n" );
document.write( "Altamonte Springs Campus </SPAN>\n" );
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