This is a standard “paradox” with infinities, all countable infinities are alike. Let’s number all twins 1..infinity such that every 6th rolls 6. Now let’s setup a pairing where twin n is matched with twin 6n, n not divisible by 6. Now all twins are matched in (rolled 6, did not roll 6) pairs. The act of picking one pair is what makes the probability become 1⁄2. And this happens in step 5.
Does this give you anthropic superpowers? Suppose that, instead of a die roll, you bought a lottery ticket, and the angels perform the same procedure, matching lottery winners and lottery losers. Did you just increase your chances of having won the lottery from one in several million to one in two? If you did this over and over, could you cheat the lottery?
Angels have the power, you don’t. Compare this to a regular raffle where there is an actual human picking a winner from a hat, instead of an angel. If you bribe this person to pick your entry, you increase your odds of winning from 1:n to 100%.
This is a standard “paradox” with infinities, all countable infinities are alike. Let’s number all twins 1..infinity such that every 6th rolls 6. Now let’s setup a pairing where twin n is matched with twin 6n, n not divisible by 6. Now all twins are matched in (rolled 6, did not roll 6) pairs. The act of picking one pair is what makes the probability become 1⁄2. And this happens in step 5.
Does this give you anthropic superpowers? Suppose that, instead of a die roll, you bought a lottery ticket, and the angels perform the same procedure, matching lottery winners and lottery losers. Did you just increase your chances of having won the lottery from one in several million to one in two? If you did this over and over, could you cheat the lottery?
Angels have the power, you don’t. Compare this to a regular raffle where there is an actual human picking a winner from a hat, instead of an angel. If you bribe this person to pick your entry, you increase your odds of winning from 1:n to 100%.