>>35959168Knowledge doesn't change what the probability is. It can be better represented as imagining that the top six cards are guaranteed to be prized, and if the one-of card is one of those six cards, it's prized.
let's model just two prizes, and let's actually look at what got prized.
There's a 1/60 chance that the first card will be prized, and a 59/60 chance that it won't. If the first card is prized, the chances of us ending with it prized is 1/1, and otherwise it's 1/59.
1/60 * 1/1 = 1/60 (chance that it's the first prize)
59/60 * 1/59 = 1/60 (chance that it's the second prize)
1/60 + 1/60 = 2/60, which is what we would expect by saying we're prizing two out of the sixty cards.