LuthySloan wrote:Also keep in mind that lackey´s shuffle engine is not sutible for large decks.
You may want to shuffle again some times, since the initial shuffle sometimes results in multiple cards of the same type being together at each other.
1 of 6 or 1 of 5 seems good if you really want a card in the start hand. The Power can also give you a 2nd chance.
Actually the Lackey Shuffle algorithm is theoretically far better than any manual card shuffle. To have cards clustered is a rather normal outcome. Iirc Lackey assigns every card a random number and sorts the card according to that random number, so the only non-perfect part of that is the seeding and implementation of that random generator (worst case leads only to predictable value orders in a series of generated random numbers) .
The probability to have a card in your opening hand can be calculated by using a
hypergeometric distribution. Assuming a 42 cards draw deck the chance to get a specific card in your opening hand is
75 % if stocking 7 cards of that specific card (1 in 6)
84 % if stocking 9 cards of that specific card (a little bit more than 1 in 5)
If you utilize Masaka Transformations the chances will increase to 94% resp. 98% (assuming you play 2 cards on first turn, then Masaka for 5 and make an end of turn draw).
So if you really want to make sure that you got a card in hand on turn 1 you should calculate the odds or increase them by using a method to redraw your hand (Masaka transformations) or mass draw (The Power, Mutation e.a.)