What it is
A coincidence explanation says an event is improbable but not supernatural: across a large enough number of chances, even a one-in-a-million arrangement is bound to happen to someone, somewhere, regularly. Diaconis and Mosteller formalized this as the “law of truly large numbers,” and Littlewood’s law is its vivid form — a person alert through their waking hours can expect a “miracle” about once a month, simply by living through enough one-in-a-million moments.
The denominator problem
Most coincidence “miracles” quote the odds of the event and quietly omit the number of chances it had to occur. A four-time lottery winner sounds impossible until you count the millions of tickets she bought over decades — and the millions of other heavy players who didn’t win and never made the news. A dream that ‘came true’ is one survivor among the forgotten thousands that didn’t.
The honest question is never “what are the odds of this?” but “out of how many chances?” — the base rate. Add the chances back in and most of these stories sit comfortably inside ordinary probability.
Where it stops
Chance explains that such events occur somewhere; it does not, on its own, explain why this one happened to this person — and people experience meaning, not denominators. More concretely, a coincidence reading can’t manufacture documentation: it still requires the underlying facts to be ordinary. Where the timing is genuinely beyond any plausible number of trials, “it was just chance” quietly stops being an explanation and becomes a refusal to look.
How this rival is scored here
We try to reconstruct the real denominator before crediting chance. A case earns a low miracle reading on this rival only when a fair count of the opportunities makes the outcome unremarkable — not merely because a single unconditional odds figure looks small.
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