Ostensibly simple probabilistic reasoning problems are sometimes surpr
isingly difficult, One source of difficulty is the omission from a pro
blem description of information essential to an unambiguous understand
ing of the situation. When this is so, assumptions must be made to per
mit the computation of probabilities. Different assumptions lead to di
fferent conclusions, and if the assumptions are not stated, disagreeme
nts regarding problem solutions can occur, even among experts. The aut
hor reviews several such problems and their treatment in the literatur
e. He proposes accounts of why problems can be difficult even when not
ambiguous and discusses some approaches that can make solutions easie
r to find or understand.