Complete Venn-region probabilities, calculate a conditional complement and test independence.

Consider the events A and B, where \(P(A) = 0.5\), \(P(B) = 0.7\) and \(P(A ∩ B) = 0.3\). The Venn diagram below shows the events \(A\) and \(B\), and the probabilities \(p, q\) and \(r\).

1. Write down the value of[3]

   1. \(p\);

   2. \(q\);

   3. \(r\).

2. Find the value of \(P(A | B')\).

   [2]

3. Hence, or otherwise, show that the events \(A\) and \(B\) are not independent.

   [1]