Since they all serve mostly the same purpose, I will group them together into one section
Therefore, P(0 prized|0 in hand) is dhyper(0,2,51,6), P(1 prized|0 in hand) is dhyper(1,2,51,6), and P(2 prized|0 in hand) is dhyper(2, 2,51,6)
Sludge Monster It's called Sludge Monster
This is also your last chance to remove anything that might interrupt your combo with those limited removal cards
If you want to use something other than Confuse Ray make sure to have some water energy cards in your deck, and I would use Water Gun if you don't plan on moving Golduck in and out of play consistently, and just plan on keeping it in the active Pokemon spot for awhile
Corrected Pack Odds I've implemented corrected pack odds across the board thanks to this marvelous reference sheet