If you incur a tiny probability of ruin as a “one-off” risk, survive it, then do it again (another “one-off” deal), you will eventually go bust with a probability of one hundred percent. Confusion arises because it may seem that if the “one-off” risk is reasonable, then an additional one is also reasonable. This can be quantified by recognizing that the probability of ruin approaches 1 as the number of exposures to individually small risks, say one in ten thousand, increases.
