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In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected is

Options

A2146\displaystyle \frac{21}{46}
B2517\displaystyle \frac{25}{17}
C150\displaystyle \frac{1}{50}
D325\displaystyle \frac{3}{25}
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Correct Answer

✅ Option a — 2146\displaystyle \frac{21}{46}

All Options:

  • A2146\displaystyle \frac{21}{46}
  • B2517\displaystyle \frac{25}{17}
  • C150\displaystyle \frac{1}{50}
  • D325\displaystyle \frac{3}{25}

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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