ProbabilityMTP Dec 22 - Series IQuestion 3389 of 149
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A bag contains $5$ Red and $4$ Black balls. A ball is drawn at random from the box and put into another bag contains $3$ red and $6$ black balls. A ball is drawn randomly from the second bag. What is the probability that it is red?

Options

A$\frac{32}{99}$
B$\frac{1}{3}$
C$\frac{74}{99}$
DNone of these
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Correct Answer

Option a$\frac{32}{99}$

All Options:

  • A$\frac{32}{99}$
  • B$\frac{1}{3}$
  • C$\frac{74}{99}$
  • 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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