The Gambler’s Fallacy

Thinking the mountain owes you one.

Past random events don’t make future random events more likely.

No classical Latin name; the modern label comes from a 1913 roulette streak in Monte Carlo. It misreads the independence of probabilistic events.

1. P1Independent event E has failed to occur n times.
2. P2Outcomes must even out in the short run.✕ Off trail here
3. CTherefore E is more likely next time.

Diagnosis: For independent events, prior outcomes don’t change the next probability. The law of large numbers concerns long-run averages, not a debt owed to the next trial.

• Philosophical Theology

  “I’ve had so much suffering lately — God owes me a blessing.” Scripture’s lament tradition (Job, the Psalms) refuses to treat providence like a ledger.

• Apologetics

  “Given infinite time, a universe like ours had to happen eventually.” Probabilistic arguments about fine-tuning or multiverses need careful modeling, not “it’s due.”

• Ethics

  “I’ve been honest for years, so this one shortcut is fine.” Past virtue doesn’t bank moral credit that cancels a present wrong.