Question: A computer system uses passwords that are six characters, and each character is one of the 26 letters (az) or 10 integers (09). Uppercase letters

A computer system uses passwords that are six characters, and each character is one of the 26 letters (a–z) or 10 integers (0–9). Uppercase letters are not used. Let A denote the event that a password begins with a vowel (either a, e, i, o, or u), and let B 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:

(a) P(A)

(b) P(B)

(c) P(AÇB)

(d) P(AÈB)

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