jurek: since these games have alot to do with luck you cannot conclusively say that one side has any significant advantage. (no matter what the numbers say). However, making a variant that works this way isn't a bad idea at all. Just don't change existing rules based upon mild observations. Just a thought, but, won't your idea of giving Black three extra shots give him the advantage?
(peida) Kui Sa tahad kindla mängutasemega vastast, siis võid uue partii loomisel määrata tema BKR vahemiku. Siis teised mängijad ei näe ega saa seda kutset vastu võtta. (Katechka) (näita kõiki vihjeid)