document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200581>Question 1200581</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company has a 20-person grievance committee. When a grievance is filed, three of these<BR>\n" );
document.write( "20 people are chosen at random to serve on a hearing panel. Suppose that two committees are<BR>\n" );
document.write( "formed. What is the probability that these committees have at least one member in common? </SPAN>\n" );
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document.write( "The probability that the first person chosen for the second panel is not on the first panel is 17/20.<BR>\n" );
document.write( "The probability that the second person chosen for the second panel is not on the first panel is 16/19.<BR>\n" );
document.write( "The probability that the third person chosen for the second panel is not on the first panel is 15/18.<br><BR>\n" );
document.write( "So the probability that none of the three people chosen for the second panel are on the first panel is (17/20)(16/19)(15/18) = 0.5965 (rounded).<br><BR>\n" );
document.write( "Then the probability that at least one member of the second panel is on the first panel is 1-0.5965 = 0.4035.<br><BR>\n" );
document.write( "ANSWER: 0.4035<br>\r<BR>\n" );
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