The probability of rolling a 1 with the next dice roll is 1/6.
But, given this serie of previous rolls: 2, 3, 4, 5, 6, 2, 3, 4, 5, 6
Is there anyway to calculate a probability (or other term), given this particular history of previous rolls, taking the previous rolls into account and saying it is more likely to get a 1 since the last 10 rolls did not give you a 1.
Is there anyway to calculate such?
The die is not some cognitive agent that can effect the outcome of it being thrown based on any memory of past events; the die has no memory, and no control.
So, it does not matter what the previous outcomes were. Assuming the die is fair, each outcome for any throw is equally likely, i.e. it's $1$ in $6$
To think that it is more likely to come up with a $1$ now that it hasn't come up with a $1$ for a while is called the Gambler's Fallacy. Look it up!