Question: A computer system uses passwords that contain exactly eight characters, and each character is one of the 26 lowercase letters (az) or 26 uppercase letters

A computer system uses passwords that contain exactly eight characters, and each character is one of the 26 lowercase letters (a–z) or 26 uppercase letters (A–Z) or 10 integers (0–9). Let Ω denote the set of all possible passwords. Suppose that all passwords in Ω are equally likely. Determine the probability for each of the following:

(a) Password contains all lowercase letters given that it contains only letters

(b) Password contains at least 1 uppercase letter given that it contains only letters

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