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If C and D are two events such that C su...

If C and D are two events such that `C sub D `and P(D) ≠ 0,` then the correct statement among the following is

A

`P(C|D)=(P(D))/(P(D))`

B

`P(C|D)=P(C)`

C

`P(C|D)geP(C)`

D

`P(C|D)ltP(C)`

Text Solution

Verified by Experts

The correct Answer is:
C
We have `CsubD`
`impliesCnnD=C`
`impliesP((C)/(D))=(P(CnnD))/(P(D))=(P(C))/(P(D))geP(C)`
As `0ltP(D)le1`
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