document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203260>Question 1203260</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Alonzo, Bob, and Casper work bussing tables at a restaurant. Alonzo has a 60% chance, Bob has a 10% chance, and Casper has a 30% chance of bussing tables in the middle area of the restaurant. If Alonzo is bussing tables, he has a 6% chance of breaking a dish. If Bob is bussing tables, he has a 2% chance of breaking a dish. Finally, if Casper is bussing tables, he has a 4% chance of breaking a dish. If there is a broken dish in the middle of the restaurant, what is the probability it was broken by Casper?\r<BR>\n" );
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document.write( "Multiple Choice<BR>\n" );
document.write( "0.012<BR>\n" );
document.write( "0.040<BR>\n" );
document.write( "0.240<BR>\n" );
document.write( "0.720 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #838684 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20060)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=838684\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Maybe the student could see it better if we explained it in terms of \"AND usually\r\n" );
document.write( "means MULITIPLY\" and \"OR usually means ADD\".  The desired probability is:\r\n" );
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document.write( "                                    P(\"C bussed\" AND \"C broke dish\")\r\n" );
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document.write( "P[(\"A bussed\" AND \"A broke dish\") OR (\"B bussed\" AND \"B broke dish\") OR (\"C bussed\" AND \"C broke dish\")]\r\n" );
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document.write( "which means that we perform these operations:\r\n" );
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document.write( "                                    P(\"C bussed\") x P(C broke dish\")\r\n" );
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document.write( "P(\"A bussed\") x P(\"A broke dish\") + P(\"B bussed\") x P(\"B broke dish\") + P(\"C bussed\") x P(\"C broke dish\")\r\n" );
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document.write( "                                              0.3 x 0.04\r\n" );
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document.write( "                                  0.6 x 0.06 + 0.1 x 0.02 + 0.3 x 0.04 \r\n" );
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document.write( "which comes out to be 0.24.\r\n" );
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document.write( "Edwin</PRE> </SPAN>\n" );
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