ProbabilityMCQPYQ Sep 24Question 3344 of 187
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Which of the following pairs of events are mutually exclusive?

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option d — A: Imran is under $15$ years of age B: He is a voter of Delhi

All Options:

  • AA: Archana was born in India B: She is a fine lady
  • BA: She studies studies in a school B: He studies Geography
  • CA: Sita is $16$ years old B: She is good folk dancer
  • DA: Imran is under $15$ years of age B: He is a voter of Delhi

Detailed Solution & Explanation

**Identifying Mutually Exclusive Events** Two events A\displaystyle A and B\displaystyle B are mutually exclusive if they cannot occur at the same time. Let's evaluate the options: - **Option A:** A person being born in India and being a fine lady can occur together. - **Option B:** A person studying in school and studying Geography can occur together. - **Option C:** Sita being 16 years old and being a good folk dancer can occur together. - **Option D:** In Delhi, India, the minimum age to be a voter is 18. Thus, a person under 15 years of age cannot be a voter in Delhi. These two events are mutually exclusive as they cannot occur simultaneously. Hence, **Option D** is the correct answer.

About This Chapter: Probability

Paper

Paper 3: Quantitative Aptitude

Weightage

5-7 Marks

Key Topics

Probability Operations, Expected Value

A logic-heavy chapter dealing with random experiments, events (mutually exclusive, exhaustive), set theory probability, conditional probability, and Bayes' Theorem. It forms the basis for Theoretical Distributions.

View Official ICAI Syllabus

Exam Strategy Tip

Always draw a quick Venn Diagram or tree when faced with 'At least one' or 'Only A but not B' wording. It saves you from double-counting.

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