In my world probability is a sononymous with belief.
Why don't we see what the dictionary has to say.
Main Entry: prob·a·bil·i·ty
Inflected Form(s): pluralprob·a·bil·i·ties
Date: 15th century
1: the quality or state of being probable
2: something (as an event or circumstance) that is probable
3 a (1): the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes (2): the chance that a given event will occur b: a branch of mathematics concerned with the study of probabilities
4: a logical relation between statements such that evidence confirming one confirms the other to some degree
3 (a) leaves little room for "belief."