The flawed reasoning described in your question could be identified as "gambler’s fallacy." This fallacy occurs when someone believes that past random events can influence future random events, especially in gambling scenarios. For example, if a coin has landed on heads five times in a row, someone might incorrectly believe that tails is "due" to happen, which is a misunderstanding of probability.
If you have a specific argument or scenario in mind, I can help clarify further which fallacy it best fits if you provide more details.