ProbabilityPYQ Jan 26Question 4129 of 170
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If in a class, 50% of the student study mathematics and science and 70% of the student study mathematics, then the probability of a student studying science given that he/she is already studying mathematics is

Options

A37\displaystyle \frac{3}{7}
B67\displaystyle \frac{6}{7}
C47\displaystyle \frac{4}{7}
D57\displaystyle \frac{5}{7}
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Correct Answer

✅ Option d — 57\displaystyle \frac{5}{7}

All Options:

  • A37\displaystyle \frac{3}{7}
  • B67\displaystyle \frac{6}{7}
  • C47\displaystyle \frac{4}{7}
  • D57\displaystyle \frac{5}{7}

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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