What's Buddhism view on choice, choicelesness and causality? You see, there is only one constant, one universal, it is the only
  real truth: causality. Action. Reaction. Cause and effect. (...) Choice is an illusion, created between those with power, and those without. (...)  Beneath our poised appearance, the truth is we are completely out of control. Causality. There is no escape from it, we are forever slaves to it.
  
  -- The Merovingian, The Matrix Reloaded


I've read/listened somewhere that the illusion of control and choice is a source of suffering. Does the Buddhist see it in a unyielding manner as the Merovingian?

Does different groups of Buddhism view this point differently?

EDIT:

Please complement your answers. Beyond the views on causality (deterministic or stochastic perception) how these views relate to suffering? Is there relation between suffering and how someone perceives choice? The misunderstanding of causality and control can produce suffering?
causality. Action. Reaction. Cause and effect


This is agreeable with Theravada Buddhism. This is dealt in dependent origination


  Choice is an illusion, created between those with power, and those without


Not relevant. As there is no one with absolute power nor are we puppets to some external force.

Having said this. We do have some degree of choice in the present moment, which has some degree of influence on the future which hence some level of influence of the future.


  the truth is we are completely out of control


Do not aggree. We have some degree of control but not absolute control (Anatta nature, marks of existence), i.e., fuzzy, stochastic and complex.


  Causality. There is no escape from it, we are forever slaves to it.


Do not agree.

By understanding cause and effect (dependent origination) you can break out of this vicious circle and attain Nirvana. You are at Nirvana when you break the cycle of dependent origination, hence free from cause and effect.

Also cause and effect in Buddhism is more like:


Fuzzy
Stochastic
Complex System


Hence we not completely enslaved nor are we completely free from it. We have some degree of choice but not absolute choice. (Refer to marks of existence)


  Is there relation between suffering and how someone perceives choice?


Also any form of perception clouds your view of reality. So any perception regarding choice also results in misery as you are looking through coloured glass (See Moha and Avidyā in the 3 unwholesome roots).