ProbabilityMTP March 21Question 3379 of 170
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The odds are 9:5\displaystyle 9:5 against a person who is 50\displaystyle 50 years living till he is 70\displaystyle 70 and 8:6\displaystyle 8:6 against a person who is 60\displaystyle 60 living till he is 80\displaystyle 80. Find the probability that at least one of them will be alive after 20\displaystyle 20 years.

Options

A1114\displaystyle \frac{11}{14}
B2249\displaystyle \frac{22}{49}
C3149\displaystyle \frac{31}{49}
D3549\displaystyle \frac{35}{49}
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Correct Answer

✅ Option c — 3149\displaystyle \frac{31}{49}

All Options:

  • A1114\displaystyle \frac{11}{14}
  • B2249\displaystyle \frac{22}{49}
  • C3149\displaystyle \frac{31}{49}
  • D3549\displaystyle \frac{35}{49}

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.

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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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