The Members of a Board of Directors Have the Following $$\mathrm { P } , \mathrm { V } \text { P,S P,T P,F V,S V,T V,F S,T S,F T,F }$$

Multiple Choice

The members of a board of directors have the following roles: president (P) , vice president (V) , secretary (S) , treasury (T) , and fundraiser (F) . Consider these board members to be a population of Interest. The possible samples (without replacement) of size two that can be obtained from these Five board members are as follows. $$\mathrm { P } , \mathrm { V } \text { P,S P,T P,F V,S V,T V,F S,T S,F T,F }$$
If a simple random sampling method is used to obtain a sample of two of the board members, what are the chances of selecting the secretary and the treasurer?

A) $\frac { 1 } { 20 }$
B) $\frac { 1 } { 10 }$
C) $\frac { 1 } { 5 }$
D) $\frac { 2 } { 5 }$