Edexcel S1 — Question 3

Exam BoardEdexcel
ModuleS1 (Statistics 1)
TopicConditional Probability
TypeGiven conditional, find joint or marginal

3. The events \(A\) and \(B\) are such that $$\mathrm { P } ( A ) = \frac { 7 } { 12 } , \mathrm { P } ( A \cap B ) = \frac { 1 } { 4 } \quad \text { and } \mathrm { P } ( A \mid B ) = \frac { 2 } { 3 }$$ Find
  1. \(\mathrm { P } ( B )\),
  2. \(\mathrm { P } ( A \cup B )\),
  3. \(\mathrm { P } \left( B \mid A ^ { \prime } \right)\).