I recently had a NO x SO pair give me three beans with three winds; north, south, and null, and it got me wondering. I know that a 4 bean litter is already very rare to begin with at only 1% of litters, but it would technically be possible to have a litter with every wind from a NO x SO pair.
Hopefully I'm remembering my high school statistics class right, but I'm pretty sure that with a 25% chance for each wind, for a litter to have every wind it would be a 75% chance of the second bean to be a different wind from the first, multiplied by a 50% chance for the third bean to be a different wind than both the first and second, multiplied by a 25% chance for the fourth bean to be a different wind than all of the other three, then multiplied by the 1% chance of a litter having 4 beans in the first place, you would get...
0.75 x 0.5 x 0.25 x 0.01 = 0.0009375, so 0.09375% or a bit less than a 1 in 1000 chance!
Has anyone actually gotten the incredibly rare 4 bean 4 wind litter?