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If A and B are two events such that Asu...

If A and B are two events such that `AsubB`and `P(B)!=0,`them which of the following is correct?
(A) `P(A | B) =(P(B))/(P(A)` (B) `P(A|B)ltP(A)` (C) `P(A|B)geP(B)` (D) none of these

A

`P(A//B)=(P(B))/(P(A))`

B

`P(A//B)ltP(A)`

C

`P(A//B)geP(A)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
(c)
If `AsubB,` then `AnnB=A`
`:.P(AnnB)=P(A)`
We know that `P(A//B)=(P(AnnB))/(P(B))=(P(A))/(P(B))`
but `P(B)le1:.P(A/B)geP(A)`
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