Greater wish flowchart

[hcobb]

First roll the wizard's DX. We can assume that the wizard get aids up to DX 15 at the last moment.

If the DX roll is failed the demon pops up next to the wizard and kills her.

The wizard and demon both roll.

If the wizard rolls 16+ then no wish is granted and if in addition the demon rolls 11 or less the wizard is dead.

Otherwise if the wizard rolls a 3 she gets three wishes.

If the wizard rolls a 4 she gets two wishes.

Otherwise if the demon rolls better than the wizard he kills her.

Otherwise if the wizard rolls better than the demon she gets one wish.

Assuming all of that we get...

IQ 17 wizards got an average of 7.6297 wishes

IQ 18 wizards got an average of 9.4729 wishes

IQ 19 wizards got an average of 10.8981 wishes

IQ 20 wizards got an average of 11.8573 wishes

IQ 21 wizards got an average of 12.6305 wishes

IQ 22 wizards got an average of 12.5807 wishes

IQ 23 wizards got an average of 12.4548 wishes

IQ 24 wizards got an average of 12.6475 wishes