Why do criminals always leave the front door ajar so cops can easily detect something is wrong?

TvTropes calls this the OminouslyOpenDoor and files it as a death trope, meaning that usually the investigator will find a dead suspect or witness in the room:

The good guys are having a hard time finding a lead for the current investigation. They find a possible culprit or a vital link in the investigation. The team gets an address and find the door slightly open. Too bad whoever they find behind that door, be it a suspect, relative or complete stranger, can't help them close the case.

There are two sides to this:

In-universe explanation aka: Why would they leave the door open?

Of course this does not always make sense and quite often this is simply illogical behaviour from the bad guys.

However there are some valid reasons why the door would not be shut:

1. It won't stay shut anymore. The bad guy broke in, but not by lockpicking. Instead, he used brute force and damaged either the lock or the whole door. Now it won't close anymore, making anyone looking at the door aware that something fishy is going on.
2. They just don't care. The bad guy is long gone, leaving behind a major mess or even a dead body. (see above) He does not really care if anybody notices the scene of the crime because he thinks that no incriminating evidence was left behind or because he is already on the run.
3. They had to leave in a hurry. The bad guy simply had no time to clean up and close the door properly. Either he was disturbed and had to get away, or he is still on the scene and had to hide when he saw the investigator arrive.

Analytical point of view aka: What is the purpose of the scene?

Even if there is a valid plot explanation for the scene, this is still mainly used as a device by the director to build up tension. The investigator usually arrives at the door with the motive to speak to someone. Sometimes this happens at his own door when he comes home.

Before the ajar door is noticed, normally there is little to no suspense. Often two characters will be talking casually until they see the door.

Then suddenly: Excitement!

Something is wrong - this door should not be open! The viewer gets drawn into the action and knows that a surprise must be lurking behind this door. So basically the door acts as a gateway between different atmospheres and is used to quickly change the pace of the episode.