A two-way spin for a decision you have already thought about long enough. Add a maybe if the answer is genuinely three-way.
Why spin for a yes or no instead of tossing a coin?
Because a coin has two sides and this wheel does not have to. Add a third segment for maybe, or make yes twice as heavy as no when the honest odds are not even — and the rim shows that split before anybody spins it.
The other reason is the record. A coin lands and is picked up; a spin here goes into the session log with the time it happened, so the answer is still there on Friday when somebody asks what was decided on Tuesday.
When is another wheel the right one?
Two answers is the narrow case. Where five things are on the table and none of them leads, the decision wheel is the page for it. Drawing a figure instead is the number wheel, and options people recognise faster than they read belong on the picture wheel.