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Question: Answered & Verified by Expert
If the probability that a student is not a swimmer is $1 / 5$, then the probability that out of 5 students one is swimmer is
MathematicsProbabilityJEE Main
Options:
  • A ${ }^5 C_1\left(\frac{4}{5}\right)^4\left(\frac{1}{5}\right)$
  • B ${ }^5 C_1 \frac{4}{5}\left(\frac{1}{5}\right)^4$
  • C $\frac{4}{5}\left(\frac{1}{5}\right)^4$
  • D None of these
Solution:
1445 Upvotes Verified Answer
The correct answer is: ${ }^5 C_1 \frac{4}{5}\left(\frac{1}{5}\right)^4$
Required probability $={ }^5 C_1\left(\frac{4}{5}\right)\left(\frac{1}{5}\right)^4$

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