ProbabilityMTP Jun 24 Series IQuestion 3366 of 170
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The odds in favour of A\displaystyle A solving a problem is 5:7\displaystyle 5:7 and odds against B\displaystyle B solving the same problem is 9:6\displaystyle 9:6. What is the probability that if both of them try, the problem will be solved?

Options

A117/180\displaystyle 117/180
B181/200\displaystyle 181/200
C147/180\displaystyle 147/180
D119/180\displaystyle 119/180
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Correct Answer

Option a117/180\displaystyle 117/180

All Options:

  • A117/180\displaystyle 117/180
  • B181/200\displaystyle 181/200
  • C147/180\displaystyle 147/180
  • D119/180\displaystyle 119/180

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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