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Assume that passwords are selected from four-character
combinations of 26 alphabetic characters. Assume that an
adversary is able to attempt passwords at a rate of one per
second.
a) Assuming no feedback to the adversary until each attempt
has been completed, what is the expected time to discover
the correct password?

Answer Posted / amos

a) involves sequences, thus, 26^4 = 456,976 seconds which is worst case hence average case would be 456,976/2 = 228, 488 seconds or 63.7 hours or ~ 2 days.

b) involves multiplication principle, thus, worst case scenario would be 26*4 = 104 seconds hence average case is 104/2 = 52 seconds

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