Testing mutual exclusivity

A question is this type if and only if it asks to determine whether events are mutually exclusive by checking if P(A∩B) = 0.

1 questions

Edexcel Paper 3 2020 October Q1
  1. The Venn diagram shows the probabilities associated with four events, \(A , B , C\) and \(D\)
    \includegraphics[max width=\textwidth, alt={}, center]{2b63aa7f-bc50-4422-8dc0-e661b521c221-02_505_861_296_602}
    1. Write down any pair of mutually exclusive events from \(A , B , C\) and \(D\)
    Given that \(\mathrm { P } ( B ) = 0.4\)
  2. find the value of \(p\) Given also that \(A\) and \(B\) are independent
  3. find the value of \(q\) Given further that \(\mathrm { P } \left( B ^ { \prime } \mid C \right) = 0.64\)
  4. find
    1. the value of \(r\)
    2. the value of \(s\)