Question: A computer system uses passwords that are six char- acters and each character is one of the 26 letters (a-z) or 10 in- tegers (0-9).

A computer system uses passwords that are six char- acters and each character is one of the 26 letters (a-z) or 10 in- tegers (0-9). Uppercase letters are not used. Let 4 denote the event that a password begins with a vowel (either

a, e, i, o, or u) and let 8 denote the event that a password ends with an even number (either 0, 2, 4, 6, or 8). Suppose a hacker selects a password at random. Determine the following probabilities:

(b) P(B)

(d) P(AUB)

(a) P(A)

(c) P(AB)

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