Скачать или смотреть Relationship between area, volume and probability

It would be the same math if the bullet wasn’t traveling up range. It could just be a target moving around on a wall and a person has to shoot it. With the bullet being so small that it’s invisible, it’s still a blind guess with the same probability as drawing one card from a deck of cards.

The reconciliation of the apparent contradiction between area and volume in regard to probability would be considered boring and esoteric to most. However, I think this problem shows a silent but significant evolutionary leap in mental complexity. This was one of three problems that were all so complicated that I didn’t think I could solve them and they took me months to figure out. The other two were the fluid level velocity in a cone and bullet in a crosswind.

It’s interesting to think that even though the opponent’s bullet is always moving, it’s statistically the same as if it was stationary. The formula is the bullet area (or volume) divided by the range area (or volume).