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If P(A) = P(B), then
  • a)
    A and B are the same events.
  • b)
    A and B must be same events.
  • c)
    A and B may be different events.
  • d)
    A and B are mutually exclusive events.
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If P(A) = P(B), thena)A and B are the same events.b)A and B must be sa...
P(A) represents the power set of A. Subsets of set A are the elements of A.
Two sets are equal when they have the same elements.
P(A) = P(B)
The power sets of A and B are equal, this implies subsets of two sets A and B are equal
Therefore A and B should contain the same elements.
Hence If P(A) = P(B) then A = B.
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If P(A) = P(B), thena)A and B are the same events.b)A and B must be same events.c)A and B may be different events.d)A and B are mutually exclusive events.Correct answer is option 'C'. Can you explain this answer?
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