As someone who just went through the process of breaking into this industry a little over a year ago, I had to make an account here and reply to this because OP's responses to the people posting the reality of the situation had me fuming.
A bit about my background: I graduated from a top public university with a double major in applied math and economics. I chose this academic path going into university as I knew it would be required of me at any legitimate prop firm putting up their own capital for me. Additionally, I had traded a PA for 5-6 years going all the way back to my senior year of high school and had developed a fairly stable and profitable strategy. The main take away here was that I had an identifiable and evidence backed interest in trading - not just interest in investing in the stock market. I chose to purse a proprietary firm because I sought access to a larger capital base and wanted to learn the depths of the trading industry from the institutional side.
How I actually got the job: I had zero connections or network in this industry coming out of undergrad - over the last 3-4 months of my academic career I emailed every single firm I could find that participates in the business and ended up landing ~6 1st/2nd round interviews, and moved on to further rounds with 2 out of the 6. In the end, I ended up with an offer from a market making firm in equity derivatives. The process I ultimately went through was: 1st round - phone call with a handful of members at the firm, basic fit and resume screen. 2nd round - they brought me onsite and I sat through four rounds of 2-on-1 interviews of stat/probability/brain teasers. 3rd round - they gave me a universe of products and asked me to develop a strategy with sharpe ratio/max drawdown/etc, which I came back to the office and presented to a group of traders. I wrote and presented this portion using a tech driven strategy developed in python.
I was able to break in, but I worked my a** off for it, and I kept myself directed in what I was working towards for many years throughout university. I have a feeling I was a strong exception to their normal recruiting as I reached out and found them, & the majority of my coworkers here are Wharton/CMU/various ivy grads with more of a pipeline to wall street jobs.
OP - I'm sorry but a bsba doesn't cut it for this industry anymore and I'm saying that because it's fact, not to be rude to you. If you just want to join a trading arcade, more power to you, but you need to have a well developed background in mathematics to break in to the industry at a firm that is putting up its own capital nowadays. A handful of people here have tried voicing this to you and you responded back angrily instead of accepting the truth of the matter and seeing what you could do to improve yourself for these positions. That's not to say you can't do it - but you're gonna need to develop your background a lot more than a degree in business admin. and "trading for 3-6 months" in your PA to show you're actually interested and qualified in this industry.