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The underdecking in my post is random and chosen by opponent for clarification.
I would be alright with keeping lost souls out. I have one question though. If we don't reset everything then what is the point of a mulligan?
What if we found a middle ground between the two options? What if part of the cost of a mulligan is that you must leave one of your Lost Souls in your territory? If you don't have one you must play one from your deck before redrawing.
Maybe we can have the following option:1) Only can take it if you have at least one lost soul out.2) If you decide to take a mulligan, you shuffle all but one of your lost souls into your deck.
I personally am not a fan of mulligan, I makes mayhem doesn't have as much play value.
You would have the same statistical chance of drawing Lost Souls as you did with the first draw.
YMT...I am trying to understand where you are coming from.
The secondary draw would come after a shuffle which means all probabilities would be reset.
However previous trials don't have any impact on later trials in situations like this.
Another thing is that theoretical probability cannot be applied to small sample sizes, ....
...because anomalies can easily show up and make it look different, but as you use larger and larger sample sized the trials will become closer to the theoretical probabilities.
Quote from: ChristianSoldier on March 21, 2015, 09:34:46 PMHowever previous trials don't have any impact on later trials in situations like this.They do in theory.
The only thing that is different is when you look at groups and can say that there is a 1 in 36 chance of rolling 2 6s in a row, but that doesn't change the fact that after you've already rolled a six there is a 1 in 6 chance of rolling another six.