Measured tafl game haphazardness

Measured tafl game haphazardness.

Tafl variant	Game balance	Counted games	Game haphazardness
Total Hnefatafl 11x11	+1.28	145	12%
Sea battle-204577-w 11x11	-1.23	32	13%
Market Hnefatafl-w 9x9	+1.31	152	33%
Simple Tafl T cross-w 9x9	-1.09	103	25%
Historical Hnefatafl 9x9 (Saami Tablut-w)	+1.08	358	38%
Historical Hnefatafl 11x11 (Welsh Tawlbwrdd-w)	+1.07	113	34%
Simple Tafl-w 5x5	-1.45	109	37%
Fetlar Hnefatafl 11x11	+1.41	969	37%
Copenhagen Hnefatafl 11x11	+1.34	6945	38%
Sea battle-1571 9x9	+1.13	48	38%
Sea battle-2526 9x9	-1.05	179	40%
Saami Daabloe 11x9	+1.19	65	40%
Old Hnefatafl 11x11	-1.08	655	41%
Berserk Hnefatafl 11x11	+1.18	790	42%
Brandubh 7x7 (Walker)	+1.17	232	45%
Irish Brandubh 2 7x7	+1.42	893	50%
Tyr 11x11	+1.08	265	52%
Saami Cuhkka 5x5	+1.32	34	53%
Frisian Dablo 11x9	+1.04	50	68%
Daldøs 3x16	+1.11	151	50%
Daldøs 3x14	+1.05	195	63%
Daldøs 3x12	+1.12	190	82%
Saami Sáhkku 3x15 (Kåfjord)	-1.19	320	51%

The game haphazardness is calculated as:
(number of games where, after adjusting for game balance, a lower rated player wins against a higher rated player) divided by (number of counted games) * 2
Draws are counted as half wins.
Only games between players of adjusted ratings separated by at least 150, are counted.

Imagine a completely uncontrollable game, where the outcome is random like throwing a dice. The higher rated player would win half the games and lose half the games, and the game haphazardness would be 100%.
In a completely controllable game, where the higher rated player always wins, the game haphazardness would be 0 %.

A completely random game would seemingly have a game balance of 1. So some game variants can have seemingly good game balances, which are only caused by a random outcome.

Apparently, measured this way, the normal range of haphazardness is up to 50%.