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In Class 12 Maths Probability, two events A and B are independent if the occurrence of one does not affect the occurrence of the other. Mathematically, they satisfy:
P(A ∩ B) = P(A) × P(B)
This holds for both mutually exclusive and non-mutually exclusive events.
Class 12 Maths Probability is covered in Chapter 13 for the CBSE Exam 2024-25. It includes concepts like independent and dependent events mutual and non-mutual exclusivity Bayes’ theorem and conditional probability. Understanding these topics helps in solving real-life problems involving chance and uncertainty which is essential for higher studies and competitive exams.
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As follows from the definition, if events A and B are independent, the correct statement is:
– A and B are independent
For independent events, the conditional probability P(A | B) = P(A), and P(B | A) = P(B), because the occurrence of one event does not affect the probability of the other.
The statement “P(A | B) + P(A | B) = 1” is wrong and does not generally hold.
Therefore, the right answer is A and B are independent.
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