Why does the world exist? It just does, without a cause. Could it not have existed? Yes. Could it have existed in a primitive form, such that intelligent beings never came to be? Yes. So why does it indeed possess the property of birthing intelligent worlds? It just does, on its own, an absolutely random property, without which neither we nor these questions would exist.
As an option, the model of the universe may be such: it has a beginning, and before it — the era of the initial homogeneous physical reality, often called the era of Nothing. It originated spontaneously with the self-organizing matter appearing spontaneously and evolved further. In form and structure — a multilevel Multiverse, and its properties allow it to develop further and exist eternally, but may not without the participation of intelligent beings. Yes, today this assumption, as a general view of the world's limits, does not have a full proper explanation, but it, as a philosophical hypothesis, makes sense, which can be termed beternism — "beternism", from the words beginning — "beginning", and eternity — "eternity".
The existence of such a curious creature as humans suggests the existence of a Universe just like ours. And this doesn't mean it was planned this way or that this is the only possible mode of existence. Reality could have had other properties that would not allow for the emergence of any kind of intelligent beings. Yet, fortunately for us, reality is just as it is.
What do different currents of thought have to say about God and the universe? Theism — God created the world and manages all its events; Deism — God created the universe and does not interfere with it; Panentheism — God includes the eternal universe, but also exists above it; Pandeism — God, upon the creation of the world, became one with it, and is now the universe itself; Pantheism — the universe is equated to God, or is seen as sacred; Atheism — the absence of belief in anything supernatural, or the belief that only nature exists; Agnosticism — the answer is not yet known, or is entirely unfathomable.
The ultimate questions about our world: Why does it exist? In what way does it exist? Does it have a purpose? Could it have not existed at all? Could reality be such that no intelligent being would have appeared? Why does it have the ability to give birth to intelligence? Why is the world the way it is? Why is it so whimsical? What is its structure? Is it finite or infinite? Has it always existed or does it have a beginning? Does it have a prime cause? What lies beyond its limits? Is it eternally evolving or destined to decline in the future? Can intelligent beings live forever? Is the world knowable or not?
The origin of intelligence, is it a mandatory and 'inevitable' property of reality? No, it's causeless and spontaneous. Reality could have existed in a primitive form without the self-organizing property. So why does the Universe possess this property, thanks to which intelligence arose in the process of evolution? Just, without a cause. Without this property, no questioning being would have emerged.
Why does the world exist? The Universe exists just so, without a cause. Whether it emerged spontaneously or has always existed is a separate matter. By nature, the Universe possesses self-organizing properties yet lacks any predetermined purpose. Essentially, the Universe presents a certain opportunity for the birth and development of various complex phenomena, including primitive forms of intelligent life. Over time, these phenomena may either be destroyed or cease to exist, while new ones may emerge. However, intelligent beings have the opportunity to extend their existence if they manage to harness the potential of their essential properties and the capabilities of their surrounding world. Fortunately, the potential of human fundamental properties and the opportunities our physical world offers for our flourishing are magnificent. It ultimately depends on our choices whether we will reach the stars or regress into dissolution.