>>15575707>2+ people with a red dotevery person will see at least one person with a red dot, so they are safe ("someone else has a red dot, so it doesn't matter whether i have a red dot or a blue dot")
>1 person with a red dotthat person won't see anybody else with a red dot, so they'll conclude that they're the ones with a red dot ("nobody else has a red dot, but since at least 1 person has a red dot, then i must have a red dot"), so they'll die
the day after that, the scenario below will happen
>0 people with a red dotthis can happen either if the stranger lied or everyone with a red dot had died
during the gathering, every person will see that everyone else has a blue dot, so they'll assume that they have the red dot (like the one person did above). since this is not true, they won't die that night, and since they won't die, the next day they'll conclude that they have a blue dot, so they'll all die the next night