Home
Class 12
MATHS
6. If two eventsAand Bare such that P(A)...

6. If two eventsAand Bare such that P(A) 0.3, P(B) 0.4 and P(`AnnB``)= 0.5, then P`(` B// (``AUB^'``)` (A)` 1//4 ` (B)`1//5` (C) `3//5` (D) `2//5`

Text Solution

Verified by Experts

We know,
`P( B/(AuuB^'))`
=`(P(B nn (A uu B^')))/(P(A uu B^'))`
=`(P(A nn B))/(P(A)+P(B^')−P(AnnB^'))`
=`(P(A)−P(AnnB^'))/(P(A)+P(B^')−P(AnnB^'))`
=`(0.7−0.5)/0.8=1/4`
Promotional Banner

Similar Questions

Explore conceptually related problems

If two events A and B such that P(A')=0.3 , P(B)=0.5 and P(AnnB)=0.3 , then P(AnnB') is

If two events A and B such that P(A')=0.3 , P(B)=0.5 and P(AnnB)=0.3 , then P(B//AuuB') is

If two events A and B such that P(A')=0.3 , P(B)=0.5 and P(AnnB)=0.3 , then P(B//AuuB') is

If two events A and B such that P(A')=0.3 , P(B)=0.5 and P(AnnB)=0.3 , then P(B//AuuB') is

If two events A and B are such that P(A')=0.3, P(B)=0.4 and P(A nn B')=0.5 , then P((B)/(A uu B')) equals

If two events A and B are such that P(A^(C))=0.3, P(B)=0.4 and P(A nn B^(C))=0.5 then P(B//A uu B^(C)) is

If two events A and B are such that P(A')= 0.3, P(B)=0.5 and P(A cap B) = 0.3 , then P(B | A cup B') is …………

If two events A and B are such that P(A) =0.3, P(B)=0.4 and P(A'nnB') =0.5. then find the value of P(B//AuuB')).

If two events A and B are such that P(A) =0.3, P(B)=0.4 and P(A'nnB') =0.5. then find the value of P(B//AuuB')).