A) \[P(C|D)=\frac{P(D)}{P(C)}\]
B) \[P(C|D)=P(C)\]
C) \[P(C|D)\ge P(C)\]
D) \[P(C|D)<P(C)\]
Correct Answer: C
Solution :
We have \[C\subset D\] \[\Rightarrow \,\,C\cap D=C\] \[\Rightarrow \,\,P\left( \frac{C}{D} \right)=\frac{P(C\cap D)}{P(D)}=\frac{P(C)}{P(D)}\ge P(C)\] as \[0<P(D)\le 1\]You need to login to perform this action.
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