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36 Austl. J. Leg. Phil. 114 (2011)
Avoiding Probabilistic Reasoning Fallacies in Legal Practice using Bayesian Networks

handle is hein.journals/ajlph36 and id is 118 raw text is: Avoiding Probabilistic Reasoning
Fallacies in Legal Practice using
Bayesian Networks
NORMAN FENTON & MARTIN NEILt
I.    Introduction
The issue of probabilistic reasoning fallacies in legal practice (hereafter
referred to simply as probabilistic fallacies) is one that has been well
documented, being dealt with even in populist books.' There are some
excellent overviews of the most common fallacies and some of the more
famous (primarily UK-based) cases in which they have occurred. There is
a substantial literature dealing in general terms with one or more fallacy,3
t     RADAR (Risk Assessment and Decision Analysis Research), School of
Electronic Engineering and, Computer Science, Queen Mary (University of
London), London El 4NS.
I     Examples include: G Gigerenzer, Reckoning with Risk: Learning to Live
with Uncertainty (2002); J Haigh,   Taking Chances: Winning with
Probability (2003).
2     Examples include: C G G Aitken and F Taroni, Statistics and the evaluation
of evidence (2nd ed, 2004); D J Balding, Weight-of-Evidence for Forensic
DNA Profiles (2005); I W Evett and B S Weir, Interpreting DNA evidence:
statistical genetics for forensic scientists (1998).
3~    Examples include: D J Balding and P Donnelly, 'Prosecutor's fallacy and
DNA evidence' (1994) 711-722 Criminal Law Review; C E H Berger et al,
'Evidence evaluation: A response to the court of appeal judgement in R v T'
51 Science and Justice 43-49; W Edwards, 'Influence Diagrams, Bayesian
Imperialism, and the Collins case: an appeal to reason' (1991) 13 Cardozo
Law Review 1025-1079; I W Evett, 'Avoiding the transposed conditional'
(1995) 35(3) Science and Justice 127-131; N Fenton and M Neil, 'The Jury
Fallacy and the use of Bayesian nets to simplify probabilistic legal
arguments' (2000) 36(6) Mathematics Today (Bulletin of the IMA) 180-187;
C Jowett, 'Lies, Damned Lies, and DNA Statistics: DNA Match testing.
Bayes' Theorem, and the Criminal Courts' (2001) 41(3) Medicine, Science
and the Lawl94-205; D H Kaye, 'Two Fallacies About DNA Databanks for
Law Enforcement' (2001) 67(1) Brooklyn Law Review 179-206; J J Koehler,
'The Base Rate Fallacy Myth' (1993) 4(49) Psycoloquy; R Matthews, 'The
Interrogator's Fallacy' (1995) 31 Bulletin of the Institute of Mathematics and
its Applications 3-5; D F Percy, 'The power of Bayes' (2005) 41(4)
Mathematics Today (Bulletin of the IMA) 122-125; M Redmeyne, 'DNA