<PRE><B>Question 1148101</B>
&lt;br&gt;
(a) both men....&lt;br&gt;
P(1st is a man) = 20/25
P(2nd is a man) = 19/24
P(both are men) = (20/25)*(19/24); simplify as required&lt;br&gt;
OR...&lt;br&gt;
{{{(C(20,2)*C(5,0))/(25C2)}}}  [choose 2 of the 20 men and 0 of the 5 women]&lt;br&gt;
(b) one man and one woman....&lt;br&gt;
P(man first and woman second) = (20/25)*(5/24)
P(woman first and man second) = (5/25)*(20/24)
P(one man and one woman) = (20/25)*(5/24) + (5/25)*(20/24); simplify as required&lt;br&gt;
OR...&lt;br&gt;
{{{(C(20,1)*C(5,1))/(25C2)}}}  [choose 1 of the 20 men and 1 of the 5 women]&lt;br&gt;
(c) at least one woman...&lt;br&gt;
P(at least one woman) = 1 - P(both men)&lt;br&gt;
P(both men) was calculated in part (a)&lt;br&gt;
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