interesting debate... I would throw my 2p's worth in by saying even with a random entry you would still need a strategy.. i.e. where the stop loss is ? how much of your account to risk ? where is the door (exit) ?
Thing is, why would you employ a random entry when you can simply draw a line's on a graph along the peaks and trough's ? to form a range.. and enter / exit near each swing.
I have been VERY suprised many times by how accurate this can be.. it seems too easy to make money , but its a really is that easy and it costs you little if your not correct !! ...
so why flip a coin.. ?
It's, still, random, though. Using the peaks and troughs is one of my favourite trading methods but there is no indication of whether the price will bounce or sail right through.
Using a 2:1 risk ratio is all that I use to enter, in the first place. With luck, it will be better than that and, with bad luck, you'll be stopped.