MHT CET · Maths · Probability
The probability that a person is not a sportsperson is \(\frac{1}{6}\). Then the probability that out of the 6 members of the family, 5 are sportspersons is
- A \(\left(\frac{5}{6}\right)^5\)
- B \(6\left(\frac{5}{6}\right)^5\)
- C \(5\left(\frac{5}{6}\right)^6\)
- D \(\left(\frac{5}{6}\right)^6\)
Answer & Solution
Correct Answer
(A) \(\left(\frac{5}{6}\right)^5\)
Step-by-step Solution
Detailed explanation
\(P(\text{sportsperson}) = 1 - \frac{1}{6} = \frac{5}{6}\) \(P(X=5) = \binom{6}{5} \left(\frac{5}{6}\right)^5 \left(\frac{1}{6}\right)^{6-5}\)
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