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.
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])
Thank you! Edit: Single word change
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.
dont worry though. if the rng likes you as much as me....the card you sent back bc its costs 8 mana will be the first card you draw on your turn :D