Recommended method
The more economical approach
In this image, both electrolysis and laser would be suitable because the end cost would be similar. The more hair there is though, the more cost effective laser becomes. When there are fewer than a couple of dozen hairs, electrolysis will be more cost effective.
Personal preferences
Sometimes it comes down to personal preference. It may be that the sensation produced by one or the other is preferable. Or the fact that when a receiving laser treatment the area should be shaven while prior to electrolysis it’s necessary to grow the hair for a few days. Laser treatments are generally not scheduled as frequently as electrolysis and the skin has somewhat less of an inflammatory response so that’s a bonus. Another plus is the fact that regrowth is more delayed than any other form of hair removal.
But whichever you choose, remember, laser is only going to be effective on hair that is dark brown or black and not fine.
Sometimes both
If you have a variety of hair types and colours to treat, or you have some detailing to do, electrolysis will be more appropriate. In many cases it is necessary to treat with both methods!