Dice have a few interesting properties that we need to know about.

First, the probability of dropping any of the faces is the same. Thus, if you want to know the average dice roll, sum the values ​​of all the faces and divide that sum by the number of faces. The average roll of a standard six-sided die is 1+2+3+4+5+6 = 21 divided by the number of faces (6) and we get an average of 21/6 = 3.5. This is a special case because we assume that all outcomes are equally likely.

The indication of each side of the dice is equally probable. This does not depend on how many dice you roll. Each roll of the die is independent, which means that previous rolls do not affect the results of subsequent rolls. With enough trials, you are bound to notice a "range" of numbers, such as mostly larger or smaller numbers, or other features but this does not mean that the dice are "hot" or "cold."

If you roll a standard six-sided die and the number 6 comes up twice in a row, the probability that the next roll will result in a 6 is also 1/6. The probability is not increased by the fact that this dice is “warmed up”. The probability does not decrease, because the number 6 has already been twice in a row, which means that now this dice will show us another face. (Of course, if you roll a die twenty times and the number 6 comes up every time, the chance of a 6 coming up the twenty-first time is pretty high...because that might mean you have the wrong die!).

If you roll a single die, the probability of each of the faces coming up is the same. This means that if you roll a lot of dice, over time, each face will come up about the same number of times. The more dice you roll, the more the total result will approach the average. It's not because the rolled number "causes" another number to roll that hasn't yet come up. Because a small streak of rolling the number 6 doesn't end up being a big deal if you roll the dice ten thousand more times and it's mostly the average...Not because the previous rolls affect the dice (seriously, the dice is made of plastic, it doesn't have the brains to think "oh, it's been a long time since a 2 came up"), but because that's what usually happens with a lot of rolls of the dice. A small series of repeating numbers will be almost invisible in a large number of results.

Keep in mind that the fewer dice used in the game, the higher the randomness, and the more dice, the lower the randomness.