Kinglionsfox;n9372491 said:I didn't think this was a problem or a "bug" from my experiences, and the explanations of sequencing seemed plausible at first. I consistently play a greed NR deck that has 5 cards that needs to be mulligan away, and I rarely have problems. That being said, I play that deck differently every match because of the inconsistent hands and match types (to me it's fun to play).
After thinking over this a little while today, I came to the conclusion that sequencing, the order of which you mulligan, has no effect on the probability of redrawing the mulligan-ed cards.
Firstly, when mulligan blacklists the mulligan-ed card (like Roach in the example), why are all probabilities calculated with 16 card decks? You only have 15 possible cards to regularly draw from because you always draw the top non-blacklisted card during each mulligan. It does not matter that the blacklisted card is placed on top of the deck or just behind the first, as that top non-blacklisted card will always be drawn as you mulligan, making the two positions the same spot on the next regular, free draw.
Blacklisting only affects the mulligan phase, not the regular draw. Mulligan shuffles the 1-3 cards back into the deck. Hypothetically, you could mulligan until the whole deck is blacklisted and it will still have the same effect of shuffling in the end. The mulligan is a separate event from the regular draw, a special shuffle of the mulligan cards, therefore isn't a part of the probability.
If you only mulligan 1 card (out of the 3 possible), a Roach, with a 10 card hand and 15 card remaining deck, the odds of redrawing it on the next regular draw is 1/15 or about 6.6%
When you mulligan 2 or 3 cards, with a 15 card deck, there are 2-3 possible outcomes/cards (you may or may not want to happen) on the next draw. It's a 20% chance to get 1 of the 3 cards back in the next draw, which is a pretty decent chance. This is not including the bronze cards that can have up to 3 each in a deck. Also RNG screw is a thing, so it might feel like the RNG gods are against you.
It's important to note the opening mulligan isn't necessarily the issue. It's the between round mulligans. As I said before, it would make sense to assume they behave the same way. Outside of blacklisting applying to one but not the other. What doesn't make sense is tossing a card in the R2-R3 mulligan and getting it back so frequently the next time you redraw a card. It is incredibly common even with a large deck. To clarify, it doesn't seem like tossed cards off these mulligans are properly shuffled into the deck when tossed. If the mulligans are bugged this is where the bug is at. And again, you would see the same issue with Vrihedd Officers.
The oddest aspect of this is, given how important mulligans can be, one would think the mechanics would be clarified in detail via official means.