Mathematical hedging strategy without a stop loss

What happens if we make the take profit 100pips and the stop loss 50 pips?

That take profit will be good on GBP pairs. Most of the times as checked on mql5 robots that claim profitability has some form of grid, hedge, recovery, averaging or martingale embedded. All the same just different applications of managing funds.
However if the thread owner mentions math the odds are different when both positions are opened at the same time without and way of recovering the losses based on 1:0.5 risk:reward as presented.
Dragon chaser flipped the odds when using 0.5:1 risk:reward.

Please Sir what is trailing stop???.... Please help me.