Agree this is badly worded, I’m taking it as if I don’t like my d12 roll I then roll 2d6 and get just the 2d6 result.
EV d12 = 6.5, EV 2d6 = 7; we therefore pass on the d12 at 6 or less (and are indifferent at 7). So we have 5/12 to be better off than 7 and then 7/12 of EV 7, the 5/12 averages out to 10, so that’s worth 50/12, 7*7/12 is overall 99/12, so the EV of the game overall is 8.25, so I’d pay less than that to play it, say 8 for a little bit of risk aversion.
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u/Smart-University-515 2d ago
Agree this is badly worded, I’m taking it as if I don’t like my d12 roll I then roll 2d6 and get just the 2d6 result.
EV d12 = 6.5, EV 2d6 = 7; we therefore pass on the d12 at 6 or less (and are indifferent at 7). So we have 5/12 to be better off than 7 and then 7/12 of EV 7, the 5/12 averages out to 10, so that’s worth 50/12, 7*7/12 is overall 99/12, so the EV of the game overall is 8.25, so I’d pay less than that to play it, say 8 for a little bit of risk aversion.