This is incorrect, whilst the immediate probability of the item appearing again (or number appearing again in roulette) is not affected by the previous outcome, the odds of something happening repeatedly are the odds of it happening multiplied by the power of the number it times it happens. If your math was correct then betting that something happened once would give you the same odds as betting that the same number on the roulette board appeared 4 times in a row. I'm sorry but your logic simply isn't logical.
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