Pandemic Prediction Checklist: H5N1
Pandemic Prediction Checklist: Monkeypox
Correlation may imply some sort of causal link.
For guessing its direction, simple models help you think.
Controlled experiments, if they are well beyond the brink
Of .05 significance will make your unknowns shrink.
Replications show there’s something new under the sun.
Did one cause the other? Did the other cause the one?
Are they both controlled by what has already begun?
Or was it their coincidence that caused it to be done?
The likelihood function is a modeling choice. You are free to choose one that assigns a lower P(Not Scam|N Correct Predictions) than would be warranted for an unbiased model.
For this scam, even if they mailed letters to everyone on the planet, you could calculate the maximum number of guaranteed correct predictions they could have achieved if they are running this scam and were scamming a given fraction of the population. Then you could, for example, construct a model that assigns arbitrarily low probability to that number of letters and treats the later predictions as meaningful evidence.