Premise: Many people sit at a long dinner table at a formal event .
Correct statement: We believe that the people are eating .
Incorrect statement: We doubt that the people are eating .
Correct statement: It is highly unlikely that a group of people are discussing politics at a dinner table .
Incorrect statement: Chances are about even that a group of people are discussing politics at a dinner table .
Correct statement: Chances are about even that many people sit at the long dinner table and wait for their meals .
Incorrect statement: There is almost no chance that many people sit at the long dinner table and wait for their meals .
Correct statement: There is almost no chance that some women are eating cake .
Incorrect statement: We believe that some women are eating cake .
Correct statement: Chances are about even that the people are at a birthday dinner .
Incorrect statement: There is almost no chance that the people are at a birthday dinner .