Yet this did not enter into his innermost chamber of his heart, on the emotional level. He was lacking, complete trust. Of course now a days we are no where near the level that Yosef had reached, rather it is that on his level, there was more demanding from his Bitachon. If we were in his place, it is very possible that it may even be considered sinful if we would ignore such an opportunity of possible freedom through the hands of the chief butler. The fear that he had being locked up in prison, clouded his Bitachon.
Faith is the belief that Hashem exists.
While Trust is the conviction that Hashem is involved in all events and that the outcome of these events is according to Hashem's will. Rather, Trust involves the faith that there is no coincidence in the world and that every occurrence under the sun was by Hashem's proclamation. We can tie this into Chanukah, through the Mussar part. Beis Shamai says better for man not to have been created than created. Beis Hillel says it is better for man to have been created.