wrong central directory signature oblivion mod loader

So, there are six possible pairings of Smith's coins and Jones's: Jones has equal chances of GG, GS, or SG (and cannot have SS) Smith has equal chances of either GG or GS (and cannot have SG or SS). If we list each person's top coin first, the possible coins are GG, GS, SG, and SS. I make it one chance in three, assuming each person is telling the truth, and that neither would say 'I have two coins in my hand' when s/he has three or more (and ignoring Mike's point about infinities because I'm not sure how to take those into account with combinatorics). Selected simpler problems implied by the stated problem are solvable, but the relative chances of occurrence of these simpler problems cannot be calculated from the available information.

In light of the multitude of possible interpretations, the problem is essentially unsolvable as stated. However, these are assumptions, and are not the only possible interpretations of the text. Making the simplifying assumption that each of Ms Smith and Mr Jones holds exactly two coins, and the further assumption that the coin supply is essentially limitless, the problem becomes one of probability theory. From her statement, we have only a lower limit on the number of coins she holds, not an upper limit. She would be holding them with another three coins, which she didn't mention, but her omission wouldn't make her utterance false. If she were holding five coins, it would be true (if misleading) for her to say she is holding two coins. We don't know if she has more than two coins. Of these six possibilities, S2/J3 is the only one in which Mr Jones has more gold coins than Ms Smith.Īnd if my final answer is wrong, I expect to still get points for showing my working.

(I worry that there's going to be some sneaky probability thing that means that 'the one on top is gold and so is the one on the bottom' and the 'the one on the bottom is gold and so it the one on top' count as two separate possibilities, but for the moment I choose to ignore it.) This means, I think, that there are three possibilities: that only the top one is gold, that only the bottom one is gold, or that both are gold. Mr Jones has two coins, and at least one is gold. We can call these S1 (in which Ms Smith has 2 gold coins) and S2 (in which Ms Smith has 1 gold coin). This means there are two possibilities: that the one on the bottom is also gold or that the one on the bottom is not gold. Ms Smith has two coins, and the one on top is gold.

Wrong central directory signature oblivion mod loader