2025 Nov TZ3 P1 Q4

Events \(A\) and \(B\) are such that \(\mathrm{P}(A) = \frac{1}{2}\), \(\mathrm{P}(B) = \frac{1}{3}\) and \(\mathrm{P}(A|B) = \frac{1}{4}\).

1. Find the probability that both events \(A\) and \(B\) occur.

   [2]

2. Find \(\mathrm{P}(A|B')\).

   [4]