The probability that a person is a singer 0.25. The probability that out of 8 persons 6 are singers is :
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → $\frac{63}{2^{14}}$
Binomial probability is,
$P(X=k)={^nC}_kp^k(1-p)^{n-k}$
$P(X=6)={^8C}_6(\frac{1}{4})^6(\frac{3}{4})^2$
$=\frac{63}{2^{14}}$