A) \[1-{{\left( \frac{19}{20} \right)}^{5}}\]
B) \[{{\left( \frac{19}{20} \right)}^{5}}\]
C) \[{{\left( \frac{3}{4} \right)}^{5}}\]
D) \[90\,{{\left( \frac{1}{4} \right)}^{5}}\]
Correct Answer: B
Solution :
Here \[p=\frac{19}{20},\,\,\,q=\frac{1}{20},\,\,\,n=5,\,\,\,r=5\] The required probability \[={}^{5}{{C}_{5}}{{\left( \frac{19}{20} \right)}^{5}}.{{\left( \frac{1}{20} \right)}^{0}}={{\left( \frac{19}{20} \right)}^{5}}.\]
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