A fun little thought-experiment, ain't it?
Bobson figured,
Mathematical odds? Depends on the open floor space. Average garage is about 22' x 22' (or 484 sq ft). A primer is, what, a quarter-inch across? Lets say 0.25 sq in. There are 144 sq inches per sq foot, multiplied by 4 since we're dealing with quarter-inches, multiplied by the 484 sq ft from before, equals 278,784 primer-sized units in one average garage. How much floor space was actually available, though? Then again, you dropped the bit near the toolbox (and were mathematically likely to), which means much of the open garage space is irrelevant.
Area of a small primer (0.175" diameter) is 0.024 square inches, not 0.25 square inches.
Area of a large primer (0.210" diameter) is 0.035 square inches.
Oh, well. What's an order of magnitude between friends?
But it's a conceptual start on the "problem," which is what I think OP was getting at and putting it in the form of a survey.
Don't know what effect there is on a drill point hitting a primer with the cup up versus the flat side up, but I guess you can assume 50% of them are cup up and the other half cup down.
And there are other variables, such as hitting the primer off-center so it won't go off, and whether they're hard primers or soft ones, the chances of the drill landing with one end hitting the primer. And what the primer mix is. I guess you can assume a drop height of three feet, but I didn't bother to weigh "the second largest bit" in my kit.
Hatcher has a table of primer sensitivities in terms of inch-oz of energy in
Hatcher's Notebook page 394 for a starting point for guesstimation of numbers for sensitivity. I would guess around 20 in-oz for a starting point in order to reliably fire a primer. He has another detailed table somewhere regarding this, but I don't feel like digging around in the book that much right now. I need to make some coffee.
But the real problem here is in assessing all the variables and then subjecting the problem to experimental test to refine, eliminate, or add variables. Insurance actuaries have the luxury of having data ready-to-hand for car accident likelihood which includes such variables as age of driver, driver ed classes, etc etc etc.
We don't, so have at it.
I'm no fun at parties, either.
My best off the wall guess is 1 in 100,000, so I voted with Bobson anyhow.
Now the real go-no-go question is, should the OP go out and buy a lotto ticket since he was "lucky" enough to set off a primer with a drill point? Or should he
not go out and buy a lotto ticket because he was
unlucky enough to set off a primer with a drill point?
O, Fortuna, velut Luna...
Terry, 230RN