Assuming feedback to the adversary flugging an error as each
incorrect character is entered, what is the expected time to
discover the correct password?
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Answer / Asheesh Kumar
The expected time to discover the correct password (brute force attack) can be calculated using the formula T = N^(-log2(p)), where T is the time taken in seconds, N is the total number of possible password combinations, and p is the probability that a randomly chosen password is correct. For example, if there are 10,000,000 possible passwords (N) and a password has a 1 in a million chance of being correct (p=0.000001), then T = 10,000,000^(log2(0.000001)) = approximately 64 days.
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