Question 1086989
There are 2 officers, 3 clerks and 2 peons among the 7 employees 
working in the bank.  If two employees are randomly selected 
from the bank, find the probability of selecting:<br> 
1. two peons<br>
{{{matrix(1,7,
P(matrix(2,1,2,peons)),
""="", 
matrix(1,4,2,"peons,",Choose,2)/matrix(1,4,7,"employees,",Choose,2), 
""="", 
2C2/(7C2),
""="",
1/21)}}}<br>
2. two clerks 

{{{matrix(1,9,
P(matrix(2,1,2,clerks)),
""="", 
matrix(1,4,3,"clerks,",Choose,2)/matrix(1,4,7,"employees,",Choose,2), 
""="", 
3C2/(7C2),
""="",
3/21,
""="",
1/7


)}}}


3. one officer and one clerk

{{{matrix(1,11,



P(matrix(1,3, (matrix(2,1,1,officer))^"",AND,(matrix(2,1,1,clerk)) )),



""="",


(  matrix(1,3, (matrix(1,4,2,"officers,",Choose,1)),AND,(matrix(1,4,3,"clerks,",Choose,1))) )/(matrix(1,4,7,"employees,",Choose,2)),

""="",
((2C1)*(3C1))/(7C2),
""="",
(2*3)/21,
""="",
6/21,
""="",
2/7
)}}}<pre>Edwin</pre>