Quote
home fires started from power tool battery charging fires

Quote
But my point still stands, how big a problem is it? 1 in 10,000,000 ? 1 in 100?

I think it may make a difference what type of battery we are talking about. Most people use lithium ion rather than the old nicad batteries.
Probably also makes a difference on what kind of quality control the manufactures use, IE Harbor freight compared to Dewalt,Milwaukee etc. As for the percentage the manufactures probably know but won't revile the #'s. I don't charge anything that i am not around in case something does go wrong.