Justice requires certainty, not probability
Nahj al-Balāgha|Volume 1|Book 3|Chapter 220
٢٢٠. وَقَالَ (عليه السلام): لَيْسَ مِنَ الْعَدْلِ الْقَضَاءُ عَلَى الثِّقَةِ بِالظَّنِّ.
220. Amīr al-mu’minīn, peace be upon him, said: There is no justice in passing a verdict by relying on probability.