There is a vicious attribute to the bias: it can hide best when its impact is largest. Owing to the invisibility of the dead rats, the more lethal the risks, the less visible they will be, since the severely victimized are likely to be eliminated from the evidence. The more injurious the treatment, the larger the difference between the surviving rats and the rest, and the more fooled you will be about the strengthening effect.
Taleb, Nassim. The Black Swan (p. 108). Penguin Books Ltd. Kindle Edition.
Interesting
Strengthening effect
Btw., is success the practice of increasing your chances of luck? And you can approach luck horizontally—by trying as many things as possible—but also vertically—by persevering, by not giving up so that you're longer exposed to the workings of the goddess of luck.