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JEE Math Practice Question

For an initial screening of an admission test, a candidate is given fifty problems to solve. If the probability that the candidate solve any problem is $${4 \over 5}$$ , then the probability that he is unable to solve less than two problems is :

  1. A.$${{164} \over {25}}{\left( {{1 \over 5}} \right)^{48}}$$
  2. B.$${{316} \over {25}}{\left( {{4 \over 5}} \right)^{48}}$$
  3. C.$${{201} \over 5}{\left( {{1 \over 5}} \right)^{49}}$$
  4. D.$${{54} \over 5}{\left( {{4 \over 5}} \right)^{49}}$$

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