Let A, B and C be three events such that...

Let A, B and C be three events such that `P(A)=0.3, P(B)=0.4, P(C )=0.8, P(A cap B)=0.08, P(A cap C) =0.28, P(A cap B cap C)=0.09`. If `P(A cup B cup C) ge 0.75`, then show that `P(B cap C)` satisfies

A

1) `P( B nn C) le 0.23`

B

2) `P(B nn C) le 0.48`

C

3) `0.23 le P(B nn C) le 0.48`

D

4) `0.23 le P(B nn C) ge 0.48`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

P(A)=0.8, P(B)=0.6, P(AuuB)=0.9 then P(A/B) is

If A and B are two events such that P(A) = 0.4 , P(A uu B) = 0.7 and P(A∩B) = 0.2 then P(B)=

If A and B are two events such that P(A) != 0 and P(B) != 1 , then P(bar A/bar B) =

If P(A) = 0.7, P(B) = 0.4, P(A nn B) = 0.3, then P(A nn B') =

A and B are two events such that P(A)= 0.8, P(B) = 0.6 and P (Ann B) = 0.5, then the value of P(A/B) is

If A and B are two independent events such that P(B) = 2/7, P(A uu B') = 0.8 then P(A)=

Let A and B be two events such that P(A)=0.3 and P(AuuB)= 0.8 . If A and B are independent events, then P(B)=

If A and B are two independent events such that P(A) = 0.40 , P(B) = 0.50 .Find P(neither A nor B).

If A and B are two events such that P(A) ne 0 and P(B) ne 1 then P((barA)/(barB))