Abstract: Praise be to God. The rest and the other does not last. Lift the sky and adorn it with stars. And he grabbed the earth with mountains in the border. He created these objects with his power. Then her death and erased objects. Then blow into the trumpet and if the dead is done. A team went to Dar Al-Nuaim and a team into a fire. Praise be to God who had LAH what happened pen. He did not speak the tongue. And peace and blessings be upon our Prophet Muhammad and the Messengers of the pious on the God of the good and virtuous. Praise be to Allah Who has enlightened our minds. And easy our way. And fill our time with benefit us. We praise God and thank him that made us a nation. Ali Bin Abi Talib is the cousin of the Prophet of Islam Muhammad Bin Abdullah and the husband of his daughter Fatima. This man was distinguished from other Muslims in particular not characterized by others. Such as courage, eloquence, strength, wisdom and intelligence. And other good characteristics which did not meet only Mohammed Nabi Islam and this man (Ali Ibn Abi Talib) has witnessed him, so, all the Muslims who have experienced him, the most prominent caliphs who preceded him in the succession of Muslims. Here, in this our research we do not want to touch upon all the virtues of this man because it does not suffice dozens of volumes and hundreds of scientific researches to cover part of his foresight. We will devote this research to the study and analysis of mathematical style and mathematical simulation which was used by Ali Bin Abi Talib in solving the issue presented to him. We scientifically prove the accuracy of his judgment where we will touch on a sporting event occurred with Ali Bin Abi Talib to know how this man was thinking and how he had a mind that never repeated after him. This case is called the cumulative distribution of quotas. We will analyze this issue mathematically as follows.