ProbabilityMTP Dec 2023 Series IIQuestion 2832 of 240
All Questions

The probability that A speaks truth is $\frac{4}{5}$ while this probability for B is $\frac{3}{4}$. The probability that they contradict each other when asked to speak on a fact is

Options

A$\frac{3}{20}$
B$\frac{1}{5}$
C$\frac{7}{20}$
D$\frac{3}{5}$
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Correct Answer

✅ Option b — $\frac{1}{5}$

All Options:

  • A$\frac{3}{20}$
  • B$\frac{1}{5}$
  • C$\frac{7}{20}$
  • D$\frac{3}{5}$

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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