If A and B are two events such that P(A) ≠ 0 and P(B | A) = 1, then
(A) A ⊂ B
(B) B ⊂ A
(C) B = Ф
(D) A = Ф
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Answer:
Option (A) is correct
Step-by-step explanation:
Concept:
1.conditional probability of B given A is
P(B/A)=P(A∩B)/P(A)
2.If A∩B=A then A is contained in B
Given:
P(B | A) = 1
P(A∩B)/P(A)=1
P(A∩B)=P(A)
A∩B=A
⇒ A ⊂ B
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