ProbabilityHard
Question
For any two events A & B defined on a sample space,
Options
A.P(A/B) ≥ 
, P (B) ≠ 0 is always true
, P (B) ≠ 0 is always trueB.P
= P(A) - P(A ∩ B)
= P(A) - P(A ∩ B)C.P(A ∪ B) = 1 - P (Ac). P (Bc), if A & B are independent
D.P(A ∪ B) = 1 - P (Ac). P (Bc), if A & B are disjoint
Solution
(A) P(A/B) = 
(B) P(A ∪ B) = P(A) + P(B) - P(A) P(B)
A & B are ind.
= P(A) (1 - P(B) + P(B)
= P(A)
+ P(B) + 1 - 1
= P(A)
- 
+ 1
⇒ 1 +
(P(A) - 1) = 1 - 
(B) P(A ∪ B) = P(A) + P(B) - P(A) P(B)
A & B are ind.
= P(A) (1 - P(B) + P(B)
= P(A)
+ P(B) + 1 - 1= P(A)
- + 1⇒ 1 +
(P(A) - 1) = 1 - Create a free account to view solution
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