The following comments may be obvious but I will make them anyway, to "think out loud" so to speak...hopefully something will come out of it.
People are generally more willing to lose money when they can win a lot of money, than they are willing to bet on something that are statistically better if there is risk of loosing a lot of money. I will give examples assuming players can only bet on or against combinations in the list of sigils above...
Example 1:
The game leader is about to throw the dice.
A player puts 10 gold coins on "Hydra". If

are rolled, the player will recieve 1000 gold coins back (100 times the bet). Otherwise only 5 gold will be repaid (Half the bet, rounded down if necessary).
This would be the first kind of game. The house win slightly, statistically, but the payoff is great, to keep the players coming.
Example 2:
The game leader is about to throw the dice.
A player bets 100 gold
against "Taxman". Lets call it Not-taxman, or Red Taxman... If three white shields are NOT rolled, the player will get 102 gold back (2 % win, rounded down if necessary). But if

are rolled, he looses his entire bet.
For a coldhearted statistician, this is clearly the best of the two bets. The bank only earns 1,78 % gold coins on average vs 3,96 % with the first bet. But for anyone else, the chance of loosing everything versus only winning a meagre 2 % gold should be palpable...You need to bet at least 50 gold to have any chance of winning in the second game. But what if the triple shield comes up first?? You will loose 50 bucks right of the bat, and still need to gamble more if you are to compensate your loss. You may get unlucky again!!
So even though the second bet is mathematically better, most people will prefer the first bet, due to the "what if" thoughts that we mortals all have...
Very interesting, no?
