ProbabilityPYQ July 21Question 3328 of 170
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A biased coin is such that the probability of getting a head is thrice the probability of getting a tail, if the coin is tossed 4\displaystyle 4 times, what is the probability of getting a head all the times?

Options

A2/5\displaystyle 2/5
B81/128\displaystyle 81/128
C81/256\displaystyle 81/256
D81/64\displaystyle 81/64
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Correct Answer

Option c81/256\displaystyle 81/256

All Options:

  • A2/5\displaystyle 2/5
  • B81/128\displaystyle 81/128
  • C81/256\displaystyle 81/256
  • D81/64\displaystyle 81/64

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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