Re: 2 Titans floating in space
Ehehehaa, tricky. The real trick is how the Titan of Cards's chances change, while the Titan of Dice's stay the same. It would seem that, in every round of 52, the Titan of Cards has better odds for the first 12 draws, but worse for the remaining 40. I keep failing to memorize the (n^2-n)/2 thing and keep having to rederive it (maybe this time it will stick?). Now you're telling me to integrate a probability curve .
I'll take the easy way out and assume that having worse odds for 10/13 of the time means the Titan of Cards loses on the long game.
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