Whether a randomly entered trade is 50% likely to be profitable, or can be made at least that by good position and money managanement, is all beside the real point. The fact that anyone can think the market owes them money based on a blind entry like this suggests a failiure to take responsibility for one's own destiny. This is a pure gamble: gambling isn't defined by the market and it isn't defined as a matter of odds, its founded on the flawed attitude of the trader/gambler - failure to take personal responsibility for decisions ansd self-development. So successes come randomly but can never be enough, while failures can be just marked down to random and capricious market action, it wasn't the trader's fault because he just made a rondom entry, so no pain there then.
Its like going for an exam or interview you haven't prepared for - if you pass you are just a brilliant candidate - if you fail, there's nothing to worry about, you're not a failure, because you didn't prepare anyway. For me, anyone who contemplates profitability with real money from random trade entries has already failed.