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Questions › IIT JAM › IIT JAM 2023 › Q10
1 mark, −0.333Statistics › Probability and Bayes' theorem › Addition rule, complements and inclusion-exclusionModerateabout 1 min

IIT JAM 2023 Question 10: Probability and Bayes' theorem

Let MMM and NNN be events on a sample space SSS. If P(M)=13P(M)=\tfrac13P(M)=31​ and P(Nc)=14P(N^c)=\tfrac14P(Nc)=41​, which one is necessarily CORRECT?

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Let M and N be events on a sample space S. If P(M)=1/3 and P(N^c)=1/4, which one is necessarily CORRECT? (A) M and N are disjoint (B) M and N are not disjoint (C) M and N are independent (D) M and N are not independent

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 IIT JAM 2023 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.