2025 NOV TZ1 P1 Q3

Two events \(A\) and \(B\) are such that \(\mathrm{P}(A) = 0.5\), \(\mathrm{P}(B) = 0.6\) and \(\mathrm{P}(A \cap B) = 0.4\).

1. Find \(\mathrm{P}(A \cup B)\).

   [2]

2. Show that \(A\) and \(B\) are not independent.

   [1]

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

   [3]