If A and B are any two events such that P(A) + P(B) – P(A and B) = P(A), then
(a) P(B|A) = 1
(b) P(A|B) = 1
(c) P(B|A) = 0
(d) P(B|A) = 0
(a) P(B|A) = 1
(b) P(A|B) = 1
(c) P(B|A) = 0
(d) P(B|A) = 0
Correct option : (b)
P(A) + P(B) – P(A and B) = P(A)
P(A) + P(B) – P(A ∩ B) = P(A)
P(B) – P(A ∩ B) = 0
P(A ∩ B) = P(B)
P(A) + P(B) – P(A and B) = P(A)
P(A) + P(B) – P(A ∩ B) = P(A)
P(B) – P(A ∩ B) = 0
P(A ∩ B) = P(B)
If A and B are events such that P(A|B) = P(B|A), then
(a) A ⊂ B but A ≠ B
(b) A = B
(c) A ∩ B = Φ
(d) P(A) = P(B)
If A and B are two events such that P(A) = 0.4, P(B) = 0.8 and P(B/A) = 0.6, then find P(A/B).
If E and F are two events such that P(E) = 1/4, P(F) = 1/2 and P(E ∩ F) = 1/8, find
(i) P(E or F)
(ii) P(not E and not F).
If A and B are two independent events such that P(A' ∩ B)= 2/15 and P(A ∩ B')= 1/6, then find P(A) and P(B).
If E and F be two events such that P(E) = 1/3, P(F) = 1/4, find P(E U F) if E and F are independent events.
If A and B are two events such that A ⊂ B and P(B) ≠ 0, then which of the following is correct?
(a) P(A|B) = P(B)/P(A)
(b) P(A|B) < P(A)
(c) P(A|B) ≥ P(A)
(d) P(A|B) ≥ P(A)
If A and B are two events such that A ⊂ B and P(B) ≠ 0, then which of the following is correct?
(a) P(A|B) = P(B)/P(A)
(b) P(A|B) < P(A)
(c) P(A|B) ≥ P(A)
(d) P(A|B) ≥ P(A)
If P(A) = 1/2, P(B) = 0, then P(A|B) is
(a) 0
(b) 1/2
(c) not defined
(d) 1
If P(A|B) > P(A), then which of the following is correct :
(a) P(B|A) < P(B)
(b) P(A ∩ B) < P(A) . P(B)
(c) P(B|A) > P(B)
(d) P(B|A) = P(B)
If P(A) = 0.4, P(B) = 0.8 and P(B|A) = 0.6, then P(A ∪ B) is equal to
(a) 0.24
(b) 0.3
(c) 0.48
(d) 0.96
If A and B are events such that P(A|B) = P(B|A), then
(a) A ⊂ B but A ≠ B
(b) A = B
(c) A ∩ B = Φ
(d) P(A) = P(B)
If A and B are any two events such that P(A) + P(B) – P(A and B) = P(A), then
(a) P(B|A) = 1
(b) P(A|B) = 1
(c) P(B|A) = 0
(d) P(B|A) = 0