document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1039124>Question 1039124</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A CONTAINER IS FILLED WITH 5 BOTTLES OF WHITE WINE, 3 BOTTLES OF RED WINE AND 1 BOTTLE OF GRAPE JUICE. IF TWO BOTTLES ARE WITHDRAWN WITH REPLACEMENT ,WHAT IS THE PRABABILITY THAT ONE OF THE BOTTLES CONTAIN A GRAPE JUICE </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #653863 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=653863\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> my previous answer was in error because it assumed no replacement.\r<BR>\n" );
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document.write( "with replacement, the answer is as follows:\r<BR>\n" );
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document.write( "the probability of getting a grape bottle on any draw is 1/9.\r<BR>\n" );
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document.write( "this is because there are 9 bottles total, only 1 of which is a grape bottle.\r<BR>\n" );
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document.write( "the probability of getting a grape bottle on the first draw only is therefore 1/9 * 8/9. = 8/81.\r<BR>\n" );
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document.write( "the probability of getting a grape bottle on the second draw only is therefore 8/9 * 1/9 = 8/81.\r<BR>\n" );
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document.write( "the probability of getting a grape bottle on the first draw and a grape bottle on the second draw is equal to 1/9 * 1/9 = 1/81.\r<BR>\n" );
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document.write( "the probability of not getting a grape bottle on the first draw and not getting a grape bottle on the second draw is 8/9 * 8/9 = 64/81.\r<BR>\n" );
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document.write( "the total of all probabilities should be equal to 1.\r<BR>\n" );
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document.write( "you get 8/81 + 8/81 + 1/81 + 64/81 = 81/81 = 1, as it should be.\r<BR>\n" );
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document.write( "you were asked for the probability that only one of the bottles contains grape.\r<BR>\n" );
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document.write( "that would be 8/81 + 8/81 = 16/81.\r<BR>\n" );
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document.write( "you do not include the probability of getting 2, because then you would have been asked for the probability of at least one of the bottles containing grape.<BR>\n" );
document.write( "that's not what was asked.<BR>\n" );
document.write( "the assumption is that you were asked for the probability of getting one and only one out of the 2 draws.<BR>\n" );
document.write( "that's my interpretation.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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