I think like in many aspects of business or live the 20/80 rule will apply: approximately 80% of traders are mostly losing and only 20% can make a living out of day trading. So, its hard to say if it is profitable or not. For Warren Buffet the investing is very profitable :-) For many others, not so much.
The 80/20 rule generally only applies to wealth, not income.
Income is better described as being received as the people who are able to innovate and have the best ideas.