Know the personality of the person dealing with the "unfair coin flip" and then make a suggestion - https://en.wikipedia.org/wiki/Revised_NEO_Personality_Invent...

Agreeable traitholders are more likely to "accept" unfairness.

With others anything can happen, depending on their needs, who they are surrounded by, their interests, health, financial stability etc

Nature ensures we don't have one strategy to deal with roadbumps. Which is why we survive so many.