Turbulence.
When you blow bubbles, the gas leaving your mouth is actually swirling and moving chaotically – as in, it follows the laws of physics but it’s so complex that it looks random. Because it’s turbulent there are bits of it at higher and lower pressure, so when the water rushes in it’ll flow into the lower pressure areas first leaving the higher pressure areas as bubbles.
If you push gas through a tube (for example) nice and slowly, then it slides over the walls of the tubes smoothly and does’t become turbulent (known as laminar flow I think) and if you do this, bubbles will plop out of the end regularly spaced and sized (as in bencooper’s example).
If you blow harder through the tube, the friction between the gas and the walls of the tube will become too much and the drag on the edge of the gas will slow it down – so as you’ve got the middle going faster than the edges the flow breaks up into turbulence, which is when you’ll get unevenly spaced bubbles.
This turbulence is why you can only get air through a straw so fast – at first, blowing harder makes it go faster, but after a certain point you just get more turbulence, rather than more air flow.
Drips from a tap exhibit similar behaviour. A slowly dripping tap is regular, but increase the flow up to a point it’ll suddenly become chaotic.
(note some of the above may be slightly wrong)