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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 5 4 , then the probability that he is unable to solve less than two problems is :

1. 48 5 1 25 164 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛
2. 48 5 4 25 316 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛
3. 49 5 1 5 201 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛
4. 49 5 4 5 54 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛

Correct answer: 49 5 4 5 54 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛

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