Q47 Prep 3 Algebra Question Bank

a) If A and B are two events in the sample space of a random experiment, with probabilities:

\( P(A) = \frac{1}{2}, \quad P(B) = \frac{1}{3} \)

Find \( P(A \cup B) \) in each of the following cases:

(i) \( P(A \cap B) = \frac{1}{8} \)

(ii) A and B are mutually exclusive events.

(i) \( P(A \cup B) = \frac{17}{24} \)

(ii) \( P(A \cup B) = \frac{5}{6} \)

MR/Nasef.N