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Questions › UGC-NET › UGC-NET 2025 › Q36
2 marksStatistics › Probability and Bayes' theorem › Addition rule, complements and inclusion-exclusionEasyabout 1 min

UGC-NET 2025 Question 36: Probability and Bayes' theorem

If P(A)=15P(A) = \frac{1}{5}P(A)=51​ and P(B)=13P(B) = \frac{1}{3}P(B)=31​ and A and B are two mutually exclusive events, then the probability that neither A nor B will occur is:

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Plain-text version

If P(A) = 1/5 and P(B) = 1/3 and A and B are two mutually exclusive events, then the probability that neither A nor B will occur is: (A) 8/25 (B) 1/15 (C) 7/15 (D) 1/5

Probability and Bayes' theorem has come up 190 times in 7 exams since 2004.

What this question tests

This question is on Addition rule, complements and inclusion-exclusion, part of Probability and Bayes' theorem in Statistics.

The probability of at least one of several events, and of none.

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Question from the UGC-NET 2025 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.