ProbabilityMTP Dec 2023 Series IQuestion 3306 of 170
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Exactly 3\displaystyle 3 girls are to be selected from 5\displaystyle 5 girls and 3\displaystyle 3 boys. The probability of selecting 3\displaystyle 3 girls will be

Options

A528\displaystyle \frac{5}{28}
B156\displaystyle \frac{1}{56}
C1528\displaystyle \frac{15}{28}
DNone of these
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Correct Answer

✅ Option a — 528\displaystyle \frac{5}{28}

All Options:

  • A528\displaystyle \frac{5}{28}
  • B156\displaystyle \frac{1}{56}
  • C1528\displaystyle \frac{15}{28}
  • DNone of these

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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