What a sniper aims for is normally dictated by his range from the target, what the target is doing at the time, and whether or not there is a non-target person close to the target, either shielding the target or in some way interfering from placing the round in the most desirable location on the target. The sniper will know the minute-of-angle accuracy of his rifle, and if he is within range to place the round inside of the expected circle of impact, he will assume that he will be able to achieve a one-shot kill -- which is always the goal. Having to fire more than once could disclose his position, or, more importantly, cause movement of the target which prohibits the taking of a follow-up shot.
If target is in the clear, a shot within the central thoracic area (with the intent of striking the heart) is the clearly preferable choice. Even if the heart is not hit, there will be penetration of one of the lungs, and since high-velocity bullets tend to "tumble" once they penetrate the human body, they will also cause massive hydrodynamic shock to surrounding tissues which can burst main arteries. A high-velocity round anywhere in the upper thorax will nearly always be fatal in very short order, if not instantly.
Head shots are way more problematic. The head tends to make sudden and rapid movements, and the skull is actually strong enough to deflect even a high velocity bullet if struck at an angle. Of course, any hit would cause immediate loss of consciousness, but involuntary motor responses could cause a trigger to be pulled on a pistol held to a hostages head, for instance, so head shots are usually not attempted unless the range is relatively short (< 200 m.). This makes the minute-of-angle strike zone fall well within the diameter of the typical adult human skull, and thus, assures maximum shock to the brain, spinal cord, and blood vessels. Immediate loss of voluntary and involuntary motor control would result, assuming the impact velocity of the round was sufficient.
When you hear of snipers making one-shot kills from ranges in excess of 800 meters, these are always shots aimed at the upper thorax. Head shots are rare and almost never attempted.
BTW I am a military trained certified expert marksman, rifle.
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