Suppose we have a card game in which, for a standard deck of 52 cards, one card of each suit is selected at random and pulled out of the deck. The remaining 48 cards are shuffled together, and laid out in a random sequence, $c_1,c_2,\dots,c_{48}$. You get to look at the first 4 cards in the sequence (i.e., $c_1,c_2,c_3,c_4$). From there, you are supposed to guess what the last four cards are which were selected at the start of the game (meaning, you guess one card of each suit). Your guess is checked against each card in sequence until a card shows up that disproves your guess.
My question is this: Given that you do not guess any of the first four cards that you see, and that you guess one card of each suit, what is the probability that your guess is disproved at exactly card $c_k$? (Moreover, is there an answer such that the probability of being disproved at each of $c_{49}$ is 1, and at $c_{50},c_{51},c_{52}$ is each 0?)