As Spring break is coming up, I will soon have much more free time in university. Specifically, this will involve recreational math because I'm a mathematics major / CISE minor, and I've got an itch to characterize a few cards in hearthstone through combinatorics and stochastic process. For example: under what conditions does the card "Far Sight" produce a beneficial outcome >= 50% of the time?
I probably won't make it very far, because I've never attempted this before and the summations are quite scary (maybe a linear representation and change of basis would help), but I would appreciate it if you guys could help me get started with a simple question: When you mulligan a hand, are the cards returned to the deck randomly? Are there any constraints to the card position? Can you redraw the *exact same* card after you mulligan it?
I could probably figure this out with statistics, but the sample size would also be quite scary. Also, these questions are important, because based on your average synergy and card relatedness, a mulliganed early tempo card could create substantial card/board/tempo advantage later in the game due to the random distribution of the starting deck. Would this phenomena be significant? (it's probably negligible though due to other factors =P [like early board presence])
Blizzard has stated you can not regain a card that has been mulliganed but it is still in your deck randomly. I do not have the link I found this out but I hope it is slightly useful. You could post on the Blizzard forums requesting that info you may get a blue response.
first cards you have before muligan and you choose them to change "go" side of the others in deck after muligan is done those cards you choose go back in deck randomly, so when first draw come you can draw the same card you choose muligan. And note that you have many cards in two copies so you can muligan one and draw again in muligan the second:-)