ORIGINAL: Extraneous
I do apologize for unleashing this firestorm. I assure you It was not intentional. I only wanted to know if my values for the chits were correct.
As I have stated before I could care less how the chits are chosen. You can use statistics or odds it is all the same to me.
While I feel that "unlimited chits" are a good idea. There is a large disparity between the calculations for "limited chits" and "unlimited chits" after 1939. With special emphasis after 1941.
1939 ~ 2.33333 vs. 2.333
1940 ~ 1.90566 vs. 1.789
1941 ~ 2.7353 vs. 2.598
1942 ~ 2.23171 vs. 3.333
1943 ~ 2.32979 vs. 2.865
Drawing just the annual USE chits as a model.
Using "limited chits" by the end of:
1939 you will have drawn 5 chits with total chit values of between 4 and 21.
1940 you will have drawn 11 chits with total chit values of between 6 and 41.
1941 you will have drawn 17 chits with total chit values of between 12 and 59.
1942 you will have drawn 23 chits with total chit values of between 18 and 77.
1943 you will have drawn 29 chits with total chit values of between 28 and 95.
Using "unlimited chits" the minimum total chit values will always be Zero and by the end of:
1939 you will have drawn 5 chits with maximum total chit values of 25.
1940 you will have drawn 11 chits with maximum total chit values of 55.
1941 you will have drawn 17 chits with maximum total chit values of 85.
1942 you will have drawn 23 chits with maximum total chit values of 115.
1943 you will have drawn 29 chits with maximum total chit values of 145.
I understand what you are saying about mean value but have you factored in that in 1940 the Germans/axis regularly do the following causing chit rolls:
Dow Iwith Italy on cw/France 1 chit ( all possibles accepted)
Dow Netherlands (1)
Dow Belguim (1)
Put a Vichy govt in place (2)
Collapse Vichy (2)
Dow Spain (2)
Dow Portugal (1)
Long shot but seen it happen once capture gib (1)
Jap align Vichy Indo china (2)
Close Burma road (1)
If the axis know that the only pool of chits the Us can draw from is the lower 40s they might even consider
Dow Norway(1)
With their being 14 chits to remove the possibility of them coming from the 41 pool is what balances the aggression of the Axis. Have you factored this into your calculations.
I love the game and want a wif to work as a ll of my opponents live quite a distance away so this would make it so much easier but by playing with unlimited 40 chits thee is no downside for Axis to bo very aggressive. Please don't take this the wrong way it is not criticism I can see from a certain point of view it makes sense but it rally does effect balance which is IMO the beauty of wif and why it is so repayable.
No doubt will get myself kicked of the list but am trying to assist am not looking to troll or anything else.
Phil