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- The events on which a gambler is betting are random in nature.
- Every event is independent. The outcome probability doesn’t change due to past events. Dice don’t have a memory, and neither does a roulette wheel. The level of uncertainty remains the same with every next event.
- Random events can be uneven. Coincidences happen all the time. There’s no rule or force to keep or restore the balance. If you don’t believe that, check the record for the number of lightning strikes that hit the same person. A quick spoiler: the number is higher than what is deemed statistically possible.
- Patterns may occur when we look at a sample of past events. However, these patterns don’t determine future outcomes.
- Bias is possible, but when true bias occurs, it’s a result of technical fault or intentional tampering with a random event generator (a pair of dice, roulette, a shoe containing six shuffled decks of cards, slot machine, etc.). Bias never results from the nature of randomness. This is, after all, the very meaning of randomness – when anything could happen at any time.
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