Radical Alternatives: How SHOULD Size and Speed/Range Affect Chance to Hit?

[Agemegos]

Originally Posted by Anthony

It's generally going to be a chi-square distribution, but that comes very close to quadratic once hit probability is low.

It's a bivariate normal, so the chi-squared distribution simplifies to an exponential distribution. In the general case the pattern is ellipsoidal, but assuming that the vertical and horizontal dispersions are uncorrelated and have the same variance you get the result that the chance id a given hit falling more than a distance from the centre of the pattern falls off exponentially with the distance.