There have been approximately two million such incidents reported, with only five hundred and forty-two incidents in which the ship in question survived intact.

Unweighted, that's 3690:1 odds.

we tend to succeed twenty-four point five percent more often than the statistics would otherwise indicate - and, in fact, that number jumps to twenty-nine point two percent specifically in cases where I state the odds against our success to three significant digits or greater

Since odds to three or more significant figures have been quoted, that gives us 2856:1 odds (still without weighting). From this, I conclude that the successful incidents usually involved ships that were either very differently designed to the ship in question, or were a long time ago (case in point - the 47-year-old success case). This implies that the current ship's design is actually somewhat more likely to fall afoul of the nebula than an average ship, or an older ship. Rather substantially, in fact; enough to almost exactly counter the determination/drive factor.

An investigation into the shipyards, and current design paradigms, may be in order once the trillions of lives have been saved. I suspect that too little emphasis is being placed on safety at some point in the design process.