OCR S4 2012 June — Question 8

Exam BoardOCR
ModuleS4 (Statistics 4)
Year2012
SessionJune
TopicConditional Probability
TypeConditional probability with algebraic expressions

8 Events \(A\) and \(B\) are such that \(\mathrm { P } ( A ) = 0.3\) and \(\mathrm { P } ( A \mid B ) = 0.6\).
  1. Show that \(\mathrm { P } ( B ) \leqslant 0.5\).
  2. Given also that \(\mathrm { P } ( A \cup B ) = x\), find \(\mathrm { P } ( B )\) in terms of \(x\).