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​If for two events A and B, P(A ∩ B)  = P(A) x P(B), then the two events A and B are

  • a)
    Dependent

  • b)
    Independent

  • c)
    Not equally likely

  • d)
    Not exhaustive.

Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If for two events A and B, P(A∩ B) = P(A) x P(B), then the two eve...
Correct Answer :- B
Explanation : Events A and B are independent if:
knowing whether A occured does not change the probability of B.
Mathematically, can say in two equivalent ways:
P(B|A) = P(B)
P(A and B) = P(B ∩ A) = P(B) × P(A).
Important to distinguish independence from mutually exclusive which
would say B ∩ A is empty
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If for two events A and B, P(A∩ B) = P(A) x P(B), then the two events A and B area)Dependentb)Independentc)Not equally likelyd)Not exhaustive.Correct answer is option 'B'. Can you explain this answer?
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