  Finding a counterfeit coin with the different weight from a set of visually
identical coin using a balance, usually a two-armed balance, known as the
balance question, is an intersting and inspiring question. Its variants involve
diversified toolkits including information theory, coding theory, optimization,
probabilistic theory, combinatorics and a lot of quick wits. In this paper some
variants of the balance game are dicussed, especially from a probabilistic
perspective. Unlike the gravity field setting, we adopt an electromagnetic
field, where tighter bounds for some variants of the balance game can be found.
We focus on the predetermined setting, where the player has to arrange the
strategy without observing the outcome of the balancing. The sufficient
condition for the balance to win is obtained by adopting a coding scheme. Apart
from designing a delicate encoding framework, we also propose and analyze the
performance of a completely randomized strategy. The optimal behavior of a
randomized player is derived. Then we rise the dishonest balance game, in which
the balance can adversely cheat the player. We present some elementary results
on the analysis of dishonest balance game using probabilistic method at length.
Its relationship with Shannon' s coding theorem in a noisy channel is also
revealed.
