The Buddha himself did not speak about faith or belief. He explained his ideas logically and asked people not to blindly follow the words of any teacher, including himself, but to look at their own experience and consider which ideas helped them cultivate compassion and avoid delusions.  However, as Buddhism spread it became extended by other elements that fit the traditions and needs of different peoples.  The resulting diversity of forms of Buddhist practice makes it very difficult to make universal statements about "Buddhist" beliefs.  

"Luck" provides an example of the range of possible interpretations.  Some people believe that prayers to, or possession of, a Buddha image will bring them good luck.  In Thailand vendors sell lottery tickets outside Buddhist temples and some monks enjoy bursts of fame for their success in predicting winning numbers.  On the other hand the Buddha's own teachings can be interpreted to rule out the existence of luck.  "The Law of Causation" says that everything happening in the world is a natural product of cause and effect relationships.  Nothing happens randomly or by chance and if you want something good to happen in the future then you should practice good deeds now.

Some Buddhist believe that all Buddha images have a protective supernatural power.  People even treasure natural forms such as a tree trunk that grew in a form resembling a Buddha image.  Some Buddhists believe that Buddha images have no special power until they are blessed by a Buddhist monk in a ceremony that calls a spirit inside them.  Some Buddhists believe that Buddha images have only an inspirational power.