ProbabilityMTP Jun 24 Series IIQuestion 3369 of 149
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In a box carrying one dozen of oranges, one third has become bad. If $3$ oranges are taken out from the box at random, what is the probability that at least one orange out of the three oranges picked up is good?

Options

A$54/55$
B$1/55$
C$43/50$
DNone of these
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Correct Answer

Option a$54/55$

All Options:

  • A$54/55$
  • B$1/55$
  • C$43/50$
  • 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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