ProbabilityMTP June 2023 Series IIQuestion 3302 of 170
All Questions

If a card is drawn randomly from a deck, the probability of the card being neither a red card nor a face card?

Options

A513\displaystyle \frac{5}{13}
B617\displaystyle \frac{6}{17}
C1227\displaystyle \frac{12}{27}
D513\displaystyle \frac{5}{13}
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Correct Answer

✅ Option a — 513\displaystyle \frac{5}{13}

All Options:

  • A513\displaystyle \frac{5}{13}
  • B617\displaystyle \frac{6}{17}
  • C1227\displaystyle \frac{12}{27}
  • D513\displaystyle \frac{5}{13}

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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