ProbabilityMTP June 24 Series IIQuestion 3392 of 149
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A bag contains 8 red and 5 white balls. Two successive draws of 3 balls are made without replacement. The prob. that the first draw will produce 3 white ball and second 3 red balls is :

Options

A$\frac{6}{255}$
B$\frac{5}{548}$
C$\frac{7}{429}$
D$\frac{3}{233}$
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Correct Answer

✅ Option c — $\frac{7}{429}$

All Options:

  • A$\frac{6}{255}$
  • B$\frac{5}{548}$
  • C$\frac{7}{429}$
  • D$\frac{3}{233}$

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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