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
View Solution FreeMore Probability Questions
A has 3 tickets in a lottery containing 3 prizes and 9 blanks; B has 2 tickets in a lottery containing 2 prizes and 6 bl...The odd against throwing 10 with two dice in a throw are-...The chance of India winning toss is 3/4. If it wins the toss, then its chance of victory is 4/5 otherwise it is only 1/2...A problem in mathematics is given to three students A, B, C and their respective probability of solving the problem is a...The probability that an event A happens in one trial of an experiment is 0.4. Three independent trials of the experments...