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

If C and D are two events such that `CsubD""a n d""P(D)!=0` , then the correct statement among the following is : (1) `P(C|D)""=""P(C)` (2) `P(C|D)geqP(C)` (3) `P(C|D)""<""P(C)` (4) `P(C|D)""=""P(D)//(P(C)`

A

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

B

`P(C // D) ge P(C )`

C

`P(C // D) lt P(C )`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
From multiplication Theorem on probability, we have
`P(C//D)=(P(C cap D))/(P(D))=(P(C ))/(P(D)) " " [because C sub D therefore C cap D = C]`
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