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LFM Stats And Pure
Conditional Probability
Q8
OCR S4 2012 June — Question 8
Exam Board
OCR
Module
S4 (Statistics 4)
Year
2012
Session
June
Topic
Conditional Probability
Type
Conditional probability with algebraic expressions
8 Events \(A\) and \(B\) are such that \(\mathrm { P } ( A ) = 0.3\) and \(\mathrm { P } ( A \mid B ) = 0.6\).
Show that \(\mathrm { P } ( B ) \leqslant 0.5\).
Given also that \(\mathrm { P } ( A \cup B ) = x\), find \(\mathrm { P } ( B )\) in terms of \(x\).
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