# A computer system uses passwords that contain exactly 4 characters, and each character is 1 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, and let A and B denote the events that consist of passwords with only letters or only integers, respectively. Determine the probability that a password contains at least 1 uppercase letter given that it contains only letters. Report answer to 3 decimal places.

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A computer system uses passwords that contain exactly 4 characters, and each character is 1 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, and let A and B denote the events that consist of passwords with only letters or only integers, respectively. Determine the probability that a password contains at least 1 uppercase letter given that it contains only letters. Report answer to 3 decimal places.

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Step 1

Let event A represents the password that consists of only letters.

The password consists of 4 characters. Here, event A can take both the lower and uppercase letters and there are 26 lowercases and 26 uppercases. (26 + 26) = 52

So, the total possible outcomes for event A =524 =...

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### Basic Probability 