defence exam Indian Coast Guard Assistant Commandant (GD/CPL) 2025 Test Series Mathematics Probability
For an initial screening of an admission test, a candidate is given fifty problems to solve. If the probability that the candidate can solve any problem is \(\frac{4}{5}\), then the probability that he is unable to solve less than two problems is:
1
\(\frac{{201}}{5}{\left( {\frac{1}{5}} \right)^{49}}\)
2
\(\frac{{316}}{{25}}{\left( {\frac{4}{5}} \right)^{48}}\)
3
\(\frac{{54}}{5}{\left( {\frac{4}{5}} \right)^{49}}\)
4
\(\frac{{164}}{{25}}{\left( {\frac{1}{5}} \right)^{48}}\)