Yet Another Analysis of Dice Problems

During the MaxEnt 2002 workshop in Moscow, Idaho, Tony Vignaux asked again a few simple questions about using Maximum Entropy or Bayesian approaches for the famous Dice problems which have been analyzed many times through this workshop and also in other places. Here, there is another analysis of these problems. I hope that, this paper will answer a few questions of Tony and other participants of the workshop on the situations where we can use Maximum Entropy or Bayesian approaches or even the cases where we can actually use both of them. Keywords: Dice problems and probability theory, Maximum Likelihood, Bayesian inference, Maximum A Posteriori, Entropy, Maximum entropy, Maximum entropy in the mean.