Why did Allah (SWT) wait for four and half billion years to start human history? What is the rate of the possibility of the solar system to form new system coincidentally?
As it is repeatedly emphasized in the Qur’an, Allah (SWT) created the universe in six days (six periods: 2 astronomic periods and 4 geologic periods).
Allah (SWT), who has infinite Qudrah (power), could have created everything at once; however, He did not do so because, along with Qudrah, Allah has wisdom too; He has a name, Al-Hakim (the Perfectly Wise) along with Qadir (Power). The name Hikmah (wisdom) requires the creation of everything with a purpose because, Allah who wants to be known by man with his arts that He created, finds it necessary to show how perfectly these arts are created. In order to show that they are beautifully created, it is necessary to show the relations of creations among them along with the mechanisms in their own systems. This is possible with a creation which is not instant but which takes place with a gradual process.
For example, if there were not the phases of growth of humans in the womb, Science would not be able to know the value of this prodigiousness. As a matter of fact, the following is stated in the Qur’an:
O mankind! if ye have a doubt about the Resurrection, (consider) that We created you out of dust, then out of sperm then out of a leech-like clot, then out a morsel of flesh, partly formed and partly unformed, in order that We may manifest (Our Power) to you; and We cause whom We will to rest in the wombs for an appointed term, then do We bring you out as babes, then (foster you) that ye may reach your age of full strength; and some of you are called to die, and some are sent back to the feeblest old age, so that they know nothing after having known (much). And (further), thou seest the earth barren and lifeless, but when We pour down rain on it, it is stirred (to life), it swells, and it puts forth every kind of beautiful growth (in pairs). (Surah Al-Hajj, 22/5).
If Allah wished, He would create a tangerine at once. however, in order to show humans the endless knowledge and power that is present behind the wise phases, He let it go on a process from a seed to sapling and then a tree that has developed branches and it finally offers a tangerine to us.
Man is the pupil of this universe, the best result of creation, the most prominent creation of the earth and the most valuable guest of Allah, who is both Rahman (the All-merciful) and Rahim (the All-Compassionate). Allah gave this prominent guest so much importance as to address him and He has offered so many magnificent kindnesses in the womb and prepared for him every comfortable life conditions as the vicegerent of the earth before sending him to the world; and then, he honored this world with his presence.
The fact that different parts and systems of the universe, the living beings that were created later and human beings that were created the last were created at different times and that they were subjected to different procedures is a reflection of the endless wisdom of Allah and the indication of his absolute will and wish.
The possibility of the coincidental occurring of the solar system is ZERO (0) because you know that a word cannot be without an author, a pin cannot be without a master.
Then, how can this book of the universe be without an author; a thousand books can be written through every atom of the universe…!
How can this palace of the universe, in each part of which there are hundreds of wonderful art embroideries, be without a master?
How can this moving cosmic universe, which has been moving for 5/15/25 billion years without breaking its system, be without an administrator?
A person who regards such a possibility to be possible probably carries some information like a porter and does not have any knowledge about mathematical probabilities.
Anyone who has doubts about the issue should ask al-Tusi and Copernicus!