UGC NET Questions (Paper – 1)

A defines conditional probability, and B states the law of total probability for a partition. C is true because independence means conditioning on B does not change the probability of A. D is true because Bayes’ theorem updates a prior probability using likelihood/evidence. E is false: P(A∣B) + P(A∣B′) is not generally 1 (they are conditional probabilities on different conditions; their sum can be greater than 1 or less than 1). Therefore A, B, C and D only are correct.

Option A:
Option A is incorrect because it omits D, and Bayes’ theorem is a correct statement commonly paired with conditional probability concepts.

Option B:
Option B is incorrect because it omits A, which is the defining formula for conditional probability.

Option C:
Option C is correct because it includes all and only the true statements (A, B, C and D) and excludes E, which is not a valid identity in general.

Option D:
Option D is incorrect because it omits B, the law of total probability, which is true.