From Fallen London Wiki

not the same person as before, but i use no fate-locked gear and i pull out a win roughly every other run, i have all distinctions except the seasonal ones. sometimes my draw luck is bad and i reroll right away, but still roughly every other run is a win. and i personally don't mind that there is no way to guarantee good results. it's rewarding either way, and even if i don't draw an optimal team, i'll still try to win the round and might find it works better than expected! losing might "waste" a bunch of actions, but it's still extremely profitable so i don't mind that much, and the fact that it is still challenging to pull out a win is a good thing that actually builds tension, setting it apart from all the easy 100%-able grinds.