Probability Distribution of Coin Flip Guesses

Question

Is is possible to predict a person's guess on a coin flip? I understand that theoretically, the result should be 50/50, but would the actual guesses of an individual also follow this distribution? Although the coin flips are independent and each trial has a .5 chance of heads and .5 chance of tails, it makes sense to me that the guesses between trials are dependent - i.e. someone may be more likely to guess tails after a heads result due to the gambler's fallacy. I have found numerous references analyzing the distribution of the flips, but nothing on the guesses.