document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1148101>Question 1148101</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that two openings on an appellate court bench are to be filled from current municipal court judges. The municipal court judges consist of 20 men and 5 women. (Enter your probabilities as fractions.)\r<BR>\n" );
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document.write( "(a) Find the probability that both appointees are men.\r<BR>\n" );
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document.write( "(b) Find the probability that one man and one woman are appointed.\r<BR>\n" );
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document.write( "(c) Find the probability that at least one woman is appointed. </SPAN>\n" );
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document.write( "(a) both men....<br><BR>\n" );
document.write( "P(1st is a man) = 20/25<BR>\n" );
document.write( "P(2nd is a man) = 19/24<BR>\n" );
document.write( "P(both are men) = (20/25)*(19/24); simplify as required<br><BR>\n" );
document.write( "OR...<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28C%2820%2C2%29%2AC%285%2C0%29%29%2F%2825C2%29 ALIGN=MIDDLE  ALT=\"%28C%2820%2C2%29%2AC%285%2C0%29%29%2F%2825C2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  [choose 2 of the 20 men and 0 of the 5 women]<br><BR>\n" );
document.write( "(b) one man and one woman....<br><BR>\n" );
document.write( "P(man first and woman second) = (20/25)*(5/24)<BR>\n" );
document.write( "P(woman first and man second) = (5/25)*(20/24)<BR>\n" );
document.write( "P(one man and one woman) = (20/25)*(5/24) + (5/25)*(20/24); simplify as required<br><BR>\n" );
document.write( "OR...<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28C%2820%2C1%29%2AC%285%2C1%29%29%2F%2825C2%29 ALIGN=MIDDLE  ALT=\"%28C%2820%2C1%29%2AC%285%2C1%29%29%2F%2825C2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  [choose 1 of the 20 men and 1 of the 5 women]<br><BR>\n" );
document.write( "(c) at least one woman...<br><BR>\n" );
document.write( "P(at least one woman) = 1 - P(both men)<br><BR>\n" );
document.write( "P(both men) was calculated in part (a)<br><BR>\n" );
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