If `P(B/A) < P(B),` the relationship between `P(A/B) and P(A)` is (i)`P(A/B)lt 1/2P(A)` (ii)`P(A/B)gt P(A)` (iii)`P(A/B)lt P(A)` (iv) `P(A/B)lt 2P(A)`

If P(A/C) gt P(B/C) and P(A/(bar C)) gt P(B/(bar C)), then the relationship between P(A) and P(B) is (A) P(A)=P(B) (B) P(A) le P(B) (C) P(A) gt P(B) (D) P(A) ge P(B)

If P((B)/(A)) P(A)( iii) P((A)/(B))

If P((A)/(C))>P((B)/(C)) and P((A)/(bar(C)))>P((B)/(bar(C))), then the relationship between P(A) and P(B) is (A)P(A)=P(B) (B) P(A) P(B)(D)P(A)>=P(B)

If A and B are two events such P(A)=1/2,P(B)=1/3and P(AcapB)=1/4 ,then find (i) P(A/B). (ii) P(B/A). (iii) P(A'/B). (iv) P(A'/B').

If A and B are two events such P(A)=1/2,P(B)=1/3and P(AcapB)=1/4 ,then find (i) P(A/B). (ii) P(B/A). (iii) P(A'/B). (iv) P(A'/B').

P(A uu B)=P(A nn B) if and only (i) P(A)>P(B)( ii )P(A)

If P(A|B) gt P(A) , then which of the following is correct:(A) P(B | A) lt; P(B) (B) P(AnnB) lt P(A)* P(B) (c) P(B|A) gt P(B) (D) P(B | A) = P(B)

If A o* B are two events then P{(A nnbar(B))uu(bar(A)nn B)}=(i)P(A uu B)-P(A nn B)(ii)P(A uu B)+P(A nn B)( iii) P(A)+P(B)(iv)P(A)+P(B)+P(A nn B)

If P(A/B) gt P(A) then prove that P(B/A) gt P(B)

Let a and B be the events such that P(A)=3/10, P(B)=1/2 and P(B//A)=2/5 . Find (i) P(A nn B) (ii) P(A uu B) (iii) P(A//B) .