Hi, I have a doubt on the statistics of this game, maybe more philosophical than mathematical. I assume most people are familiar with the game. Suppose you categorised the prizes into 'good' and 'bad'. The contestant plays a very lucky game, and halfway through the game is left with no bad prizes. To simplify, say that there are 20 boxes, 10 good and 10 bad, and the contestant opened the 10 bad ones. [BTW, I'm not sure how to calculate the probability of such a scenario. I wouldn't know how to account for the fact that the contestant's box is not included in the ones that can be opened during the game. But this is not my doubt: we know that the probability is quite low]. The point I don't get is, what happens if at this stage we forget about good and bad, and we use some other category to tell the prizes apart, say those that, expressed as numbers, are divisible by 6 as opposed to those that aren't? Now the distribution of what the contestant is left with and what is already revealed changes, and the probability of obtaining such a scenario has a different value. How is it possible that the same event has two distinct probabilities?