SPS SPS SM Mechanics 2021 January — Question 3

Exam BoardSPS
ModuleSPS SM Mechanics (SPS SM Mechanics)
Year2021
SessionJanuary
TopicConditional Probability
TypeIndependence test requiring preliminary calculations

3. The Venn diagram shows the probabilities associated with four events, \(A , B , C\) and \(D\)
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  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 \(s\)