1. The problem statement, all variables and given/known data PROBLEM(S): 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 (c) A password contains at least 1 integer. (d) A password contains exactly 2 integers. ANSWERS: (a) 0.2448 (b) 4.58E−7 (c) 0.7551 (d) 0.254 2. Relevant equations Multiplication rule. 3. The attempt at a solution Could someone please show me how to do (a), so that I can work on the rest on my own? For (a), I tried P(A) = 1/(52^8), but that's wrong.