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

A computer system uses passwords that contain exactly eight characters, and each character is one of 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, and let A and B denote the events that consist of passwords with only letters or only integers, respectively. Suppose that all passwords in Ω are equally likely.

Determine the probability of each of the following:

(a) A

(b) B

(d) A password contains exactly 2 integers.

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a PA 52 8 62 8 02448 b PB 10 8 62 8 458x10 7 c Pcontains at least 1 integer 1 Ppassw... View full answer

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