Message text "...the same mean as the distribution for one roll of a die."
Mean = average.
The average of all rolls of one six dided die is 3.5.
The average of all rolls of two six sided dice added divided by two is 3.5. Again from your link. "So what does the Central Limit Theorem say about this distribution? Suppose instead of just rolling a die once and looking at its value, we roll the die a specific number of times [more than one, to bother with an average] and average the values of all the rolls." But we are just rolling a die once and applying it to combat.
When we roll one die, we do not add the roll of another. We do not expect to average in the next die. We accept the roll of that one die. What happens to the next die roll is of no consequence to the first die.
When we play a game of Blue Max and roll one die we are NOT averaging anything. It is the same as flipping a coin. Do you have some test which shows heads shows up more often than tails? One die, one at a time, one, one, one, no average, every roll has the exact same probability barring geometric variations brought on by drilling out the pips or having more paint in sixes than ones.
I have a d100. I have no expectation of 50 or 51 being the more prevalent results.
--- Message edited by bltzlfsk |
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