UGC NET Questions (Paper – 1)

D is wrong because the total probability of all simple events in a well-defined sample space must sum to exactly 1, not more than 1. Statements A, B, C and E are correct: probabilities are bounded between 0 and 1, probabilities 0 and 1 represent impossibility and certainty within the model, mutually exclusive events have additive probabilities, and NET questions often test both conceptual understanding and simple calculations. Since only D contradicts the axioms of probability, the correct answer is the option that lists D only as wrong.

Option A:
Option A is correct because it isolates D as the single statement that violates the basic rule that the total probability over a sample space equals 1. It implicitly accepts that the other statements are consistent with elementary probability theory and exam practice.

Option B:
Option B is incorrect as it also treats A as wrong, even though A correctly states the allowed numerical range of probability values. By labelling A incorrect, this option misrepresents one of the most fundamental facts about probability.

Option C:
Option C is wrong because it groups C with D as wrong, despite C correctly stating the addition rule for mutually exclusive events. Including a true rule alongside a false statement makes this option invalid.

Option D:
Option D is also incorrect since it adds B and C to the set of wrong statements, even though both B and C are standard properties of probability. This option rejects several correct ideas along with the one incorrect statement.