The Probability Theorem

Those who practice the genre have had many heated debates on just how important probability is over causality. In reality neither is more important then the other and both are necessary to master the genre. Those who would select probability do so due to the potential of synchronicity. If one can prime the universe for change, their power could be limitless. Why settle for a specific change when literally anything could happen?
There are mages in the genre that focus solely on probability. Part of the specialization comes from the gift of foresight that this particular theorem provides. The active spells are often beautiful in aesthetic and the sensations it gives the user are unparalleled to anything else the genre has to offer.

To put it plainly, the theorem of probability is all about understanding, predicting, and avoiding outcomes that could happen in any given scenario. The practitioner feels the potential around them with what they learned from dealing with luck and can predict when an enemy will attack them or whether or not it will be successful.
Calculating such things takes time, and as such, the more time one has to calculate, the more accurate the predictions. It also allows them to predict further into the future.
Most of the time, the furthest ahead one can predict is about 2 or 3 seconds.
There are other benefits to the theorem that chaos mages can employ. While it is nice to be able to see what will happen before it does, some learn to embrace the undetermined. They choose to remain uncertain and give in to the throws of infinite potential. They see the fabric of reality in a single moment and grasp at the strings along the split seams. If one were to take hold of these strings...all they would need to do is pull.

Combat prediction is a useful tool, but it is the power of uncertainty that truly gives a chaos mage the combat effectiveness that makes them a force to reckoned with. Some users can fade in and out of reality, being both existent and nonexistent at the same time. They can walk through walls and have an enemies sword just slip through them. Some who are close to chaos can trade their fate with cloned counterparts in the other worlds.
An archer can fire perfectly aimed shots only to find that every arrow misses for a myriad of reasons. One was shifted off its course by a sudden guest of wind. Another hit an apple that fell from a tree. It wasn't until emptying his entire quiver that the archery realizes the truth. None of those arrows were meant for his target.
Some mages can twist, split, and fuse quantum particles into a beam of electric radioactive light that arcs to the ground in multicolored volts.
These mages are hard to predict. Those who have fought them find them frustrating to fight. It is as if the more accurate you are at tracking their movement, the less you know about where they actually are at the time of your attack and vice versa.
It goes to show that sometimes, ignorance truly is bliss.