  I think we can agree that dealing with uncertainty is not easy. Probability
is the main tool for dealing with uncertainty, and we know there are many
probability-related puzzles and paradoxes. Here I describe a rather
idiosyncratic selection that highlights the problem of accepting uncertain
statements. Without going into a formal decision theory, there are simple
intuitive rational bases for doing that, for instance based on high probability
alone. The lottery paradox shows the logical problem of accepting uncertain
statements based on high probability. The DNA evidence story is an example of
the use probabilistic reasoning in court, where philosophical differences
between the schools of inference -- the frequentist, Bayesian and likelihood
schools -- lead to substantial differences in the quantification of evidence.
