If the process is truly random however, then that no longer holds and you risk falling prey to the gambler's fallacy. If you flip a coin and get heads 14 times,

If the process is truly random however, then that no longer holds and you risk falling prey to the gambler's fallacy. If you flip a coin and get heads 14 times, you're still equally likely to get heads or tails the 15th time, despite the probability of getting heads 15 times in a row being very low.