Theoretical DistributionsPYQ Nov 18Question 3417 of 201
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The probability that a student is not a swimmer is $1/5$ then the probability that out of five students four are swimmer is

Options

A$^5C_1 \left(\frac{1}{5}\right)^1 \left(\frac{4}{5}\right)^4$
B$^5C_1 \left(\frac{4}{5}\right)^1 \left(\frac{1}{5}\right)^4$
C$^5C_4 \left(\frac{4}{5}\right)^4 \left(\frac{1}{5}\right)^1$
DNone of the above
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Correct Answer

✅ Option c — $^5C_4 \left(\frac{4}{5}\right)^4 \left(\frac{1}{5}\right)^1$

All Options:

  • A$^5C_1 \left(\frac{1}{5}\right)^1 \left(\frac{4}{5}\right)^4$
  • B$^5C_1 \left(\frac{4}{5}\right)^1 \left(\frac{1}{5}\right)^4$
  • C$^5C_4 \left(\frac{4}{5}\right)^4 \left(\frac{1}{5}\right)^1$
  • DNone of the above

About This Chapter: Theoretical Distributions

Paper

Paper 3: Quantitative Aptitude

Weightage

4-6 Marks

Key Topics

Binomial, Poisson, Normal Distribution

This chapter covers Binomial, Poisson, Normal Distribution and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 4-6 Marks weightage. Focus on understanding core concepts rather than memorizing.

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