document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186367>Question 1186367</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A shopper buys two cartons of a dozen eggs each. His habit is to inspect 3 eggs picked at random <BR>\n" );
document.write( "from each carton and to reject the carton if he finds one or more cracked eggs. If the first carton <BR>\n" );
document.write( "contains two cracked eggs and the second, one cracked egg, find the probability that:<BR>\n" );
document.write( "(a) Carton 1 is rejected and carton 2 is accepted.<BR>\n" );
document.write( "(b) Both cartons are accepted.<BR>\n" );
document.write( "(c) Neither carton is accepted. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #817501 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=817501\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The prob'y that the 1st carton is rejected is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28matrix%282%2C1%2C2%2C2%29%29%2A%28matrix%282%2C1%2C10%2C1%29%29%2B%28matrix%282%2C1%2C2%2C1%29%29%2A%28matrix%282%2C1%2C10%2C2%29%29%29%2F%28%28matrix%282%2C1%2C12%2C3%29%29%29+=+5%2F11 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The prob'y that the 2nd carton is rejected is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28matrix%282%2C1%2C1%2C1%29%29%2A%28matrix%282%2C1%2C11%2C2%29%29%29%2F%28%28matrix%282%2C1%2C12%2C3%29%29%29+=+1%2F4 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Hence,\r<BR>\n" );
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document.write( "a)  Prob'y that carton 1 is rejected and carton 2 is accepted is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F11%29%2A%283%2F4%29+=red%2815%2F44%29 ALIGN=MIDDLE  ALT=\"%285%2F11%29%2A%283%2F4%29+=red%2815%2F44%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "b)  Prob'y that both cartons are accepted is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%2F11%29%2A%283%2F4%29+=18%2F44+=+red%289%2F22%29%29 ALIGN=MIDDLE  ALT=\"%286%2F11%29%2A%283%2F4%29+=18%2F44+=+red%289%2F22%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "c)  Prob'y neither carton is accepted is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F11%29%2A%281%2F4%29+=+red%285%2F44%29%29 ALIGN=MIDDLE  ALT=\"%285%2F11%29%2A%281%2F4%29+=+red%285%2F44%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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