ProbabilityPYQ Dec. 21Question 3282 of 170
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Which of the following pair of events E\displaystyle E and F\displaystyle F are mutually exclusive?

Options

AE=(Ram’s age is 13) and F=(Ram is studying in a college)\displaystyle E = (\text{Ram's age is } 13) \text{ and } F = (\text{Ram is studying in a college})
BE=(Sita studies in a school) and F=(Sita is a play back singer)\displaystyle E = (\text{Sita studies in a school}) \text{ and } F = (\text{Sita is a play back singer})
CE=(Raju is an elder brother in a family) and F=(Raju’s father has more than one son)\displaystyle E = (\text{Raju is an elder brother in a family}) \text{ and } F = (\text{Raju's father has more than one son})
DE=(Banu studied B.A. English literature and)F=(Banu can read English novels)\displaystyle E = (\text{Banu studied B.A. English literature and}) F = (\text{Banu can read English novels})
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Correct Answer

✅ Option a — E=(Ram’s age is 13) and F=(Ram is studying in a college)\displaystyle E = (\text{Ram's age is } 13) \text{ and } F = (\text{Ram is studying in a college})

All Options:

  • AE=(Ram’s age is 13) and F=(Ram is studying in a college)\displaystyle E = (\text{Ram's age is } 13) \text{ and } F = (\text{Ram is studying in a college})
  • BE=(Sita studies in a school) and F=(Sita is a play back singer)\displaystyle E = (\text{Sita studies in a school}) \text{ and } F = (\text{Sita is a play back singer})
  • CE=(Raju is an elder brother in a family) and F=(Raju’s father has more than one son)\displaystyle E = (\text{Raju is an elder brother in a family}) \text{ and } F = (\text{Raju's father has more than one son})
  • DE=(Banu studied B.A. English literature and)F=(Banu can read English novels)\displaystyle E = (\text{Banu studied B.A. English literature and}) F = (\text{Banu can read English novels})

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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