The invention refers to digital interactive games operable from specific terminals,
video game consoles, personal computers,
cell phones, digital
interactive television, even when they include an initial bit of chance for their usual development, in order to incorporate the possibility to get a prize (including cash payments), besides of simply diversion. It comprises the incorporation of at least one random resource capable of sustaining a mathematical balance between winners and losers equivalent to that governing games of pure chance, keeping the condition that, for the resolution of each game, it requires the participation of the person, his / her with and his / her visual, motor, spatial, and linguistic skills, besides to his / her knowledge. The incorporated random resource is managed by a probabilistic balance
system that ensures the proper ratio between winners and losers in terms of the predetermined “payout”. The incorporated random resource could be either a lottery of maximum results including the previous draw of the maximum result the player can reach (although he / she plays it perfectly), or a lottery of levels of difficulty that draws the level of difficulty set for each game between a
maximum level (virtually impossible to overcome) and a minimum level (very easy to overcome), or a combination of both of them.