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A group of hackers tries to break a system that is secured by a n-bit password. Suppose that the group of hackers tries passwords at random, discarding those that do not work, what is the probability that they will get into the system on their k-th try?

A group of hackers tries to break a system that is secured by a n-bit password.
Suppose that

the group of hackers tries passwords at random, discarding those that do not work, what is the probability that they will get into the system on their k-th try?

 
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