ProbabilityMTP Sep 24 Series IIQuestion 3311 of 149
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There are two boxes containing $5$ white and $6$ blue balls and $3$ white and $4$ blue balls respectively. If one of the boxes is selected at random and a ball is drawn from it, then the probability that the ball is blue is

Options

A$\frac{115}{227}$
B$\frac{83}{250}$
C$\frac{137}{220}$
D$\frac{127}{250}$
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Correct Answer

Option c$\frac{137}{220}$

All Options:

  • A$\frac{115}{227}$
  • B$\frac{83}{250}$
  • C$\frac{137}{220}$
  • D$\frac{127}{250}$

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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