4. Two mark example problem III

If \(A\) and \(B\) are two events such that \(P(A) = \frac{1}{4}\), \(P(B) = \frac{1}{2}\) and \(P(A \ \text{and} \ B) = \frac{1}{8}\), find (i) \(P(A \ \text{or} \ B)\) (ii) \(P(\text{not} \ A \text{and not} \ B)\).

 

Answer:

 

(i) \(P(A \ \text{or} \ B) = \) $\frac{i}{i}$

 

(ii) \(P(\text{not} \ A \text{and not} \ B) =\) $\frac{i}{i}$