If it comes up a “1”, then beauty is woken 400 times, otherwise she is woken once only. Questions:
Should beauty bet her $100K house in a treble-or-nothing bet against omega that the d20 came up “1”? (She will have to go and live in the house again after the experiment is over) (treble or nothing means that if the coin did come up “1″, then she gets 3* her stake, otherwise she loses it).
but what if:
Omega gives beauty one small chocolate bar, which she can either eat now, or risk in a treble-or-nothing bet against omega. Should she take the bet? Chocolate bars have to be consumed immediately, before she is sent back to sleep, and obviously each time she is woken, another set of chocolate bars is used.
Just as a better intuition pump, we can imagine the “really extreme” sleeping beauty problem.
Omega rolls a d20
If it comes up a “1”, then beauty is woken 400 times, otherwise she is woken once only. Questions:
Should beauty bet her $100K house in a treble-or-nothing bet against omega that the d20 came up “1”? (She will have to go and live in the house again after the experiment is over) (treble or nothing means that if the coin did come up “1″, then she gets 3* her stake, otherwise she loses it).
but what if:
Omega gives beauty one small chocolate bar, which she can either eat now, or risk in a treble-or-nothing bet against omega. Should she take the bet? Chocolate bars have to be consumed immediately, before she is sent back to sleep, and obviously each time she is woken, another set of chocolate bars is used.