The top of the paper says “1d12” or “2d6“, right? The first number is either “1” or “2”. If this interpretation is correct, then knowing the first number has a value of 500 pounds.
As has already been stated, you have a 50% chance of guessing correctly to win 1000, so you already have an expected value of 500. To raise that to 100%, you should be willing to pay 500.
It could be indeed, but Oswald is known for his kindly and straightforward nature and wouldn’t pull that sort of fast one. Neither would he arrange the numbers on the sheets in tricky ways, nor only be asking the question because he noticed that one of the sheets had a misleading first few numbers. You can assume that he’s playing it straight.
I was intending to worry about that sort of thing at some point, but actually I’m finding the original interesting and paradoxical enough at the moment.
It could be indeed, but Oswald is known for his kindly and straightforward nature and wouldn’t pull that sort of fast one.
It’s not a fast one so much as careful attention to the setup. The first number on the sheet would be the first number in the title- which unambiguously specifies which sheet it is. If you change the setup to “the value of the first result,” the point will be defused.
Could this be a trick question?
The top of the paper says “1d12” or “2d6“, right? The first number is either “1” or “2”. If this interpretation is correct, then knowing the first number has a value of 500 pounds.
As has already been stated, you have a 50% chance of guessing correctly to win 1000, so you already have an expected value of 500. To raise that to 100%, you should be willing to pay 500.
It could be indeed, but Oswald is known for his kindly and straightforward nature and wouldn’t pull that sort of fast one. Neither would he arrange the numbers on the sheets in tricky ways, nor only be asking the question because he noticed that one of the sheets had a misleading first few numbers. You can assume that he’s playing it straight.
I was intending to worry about that sort of thing at some point, but actually I’m finding the original interesting and paradoxical enough at the moment.
It’s not a fast one so much as careful attention to the setup. The first number on the sheet would be the first number in the title- which unambiguously specifies which sheet it is. If you change the setup to “the value of the first result,” the point will be defused.
good idea, will so change