As a european there is almost 0 chance of going In the us. H1B go to indians, low paid jobs to mexicans. I dont mind either of them, but allowing europeans in would be less discriminatory.
H-1Bs don't "go" to Indians; it does not have any preference for nationality (unlike skilled immigration green cards, which have per-country quotas, which biases towards smaller countries favorably)
I would think that there is a percentage of the spots going to people who put in multiple applications, but that affects everyone equally (and that sort of fraud is an equal opportunity employer).
Indian outsourcing companies flood the applications with Indian nationals, because there is an enormous demand in India (AFAIK). On the other side, Europeans usually don't apply to outsourcing companies, but to tech companies themselves - for whom it is expensive and uncertain (will they get a visa? in how much time?) to make an offer to an European worker. So visas don't exactly go to Indians because they're Indian, they go to Indians because they benefit from (but also, are victim of) the outsourcing companies system - whereas an European worker has to convince an employer to go through the uncertain visa process to hire him/her.
Most tech folks I know over here pretty much gave up on getting hired in the US until things quiet down, or change in their favour - especially since the express lane system was shut down.
How is that fair to individual applicants?