A) \[{}^{5}{{C}_{4}}{{\left( \frac{4}{5} \right)}^{4}}\frac{1}{5}\]
B) \[{{\left( \frac{4}{5} \right)}^{4}}\frac{1}{5}\]
C) \[{}^{5}{{C}_{1}}\frac{1}{5}{{\left( \frac{4}{5} \right)}^{4}}\times {}^{5}{{C}_{4}}\]
D) None of these
Correct Answer: A
Solution :
The probability that student is not swimmer \[p=\frac{1}{5}\] and probability that student is swimmer \[q=\frac{4}{5}\]. \[\therefore \] Probability that out of 5 students 4 are swimmer \[={}^{5}{{C}_{4}}{{\left( \frac{4}{5} \right)}^{4}}{{\left( \frac{1}{5} \right)}^{5-4}}={}^{5}{{C}_{4}}{{\left( \frac{4}{5} \right)}^{4}}\left( \frac{1}{5} \right).\]
You need to login to perform this action.
You will be redirected in
3 sec
