Of course. Makes perfect sense. Child's play really.It's a truel
https://en.wikipedia.org/wiki/Truel
I don't think Belle's note to Tree says:
if the order is Tree, Bobinder, Wragg, with respective probabilities
and it is Wragg's turn, he should waste his shot if:
but not do so if:
In between, Wragg should waste his shot if:
Actually, one thing I think we need to know - are they only allowed one shot each?