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Your whole argument that "probabilities are irrelevant if you only try it once" is wrong. Statistics are irrelevant if you only try an experiment once.
But we KNOW the distribution that results from rolling a pair of dice. We HAVE done enough experiments to "settle it".
Similarly, we KNOW the distribution of a damage deck. We don't need to shuffle the deck, draw the top card and repeat the experiment thousands of times to figure out that, by golly, there's a 7/33 chance that I'll draw a Direct Hit!
I agree that you cannot draw statistically significant conclusions based on a small sample size. But that is totally besides the point here - we aren't doing statistics to try and figure out the distribution, we KNOW the distribution and we are looking at the probabilities that come with that distribution.
But we KNOW the distribution that results from rolling a pair of dice. We HAVE done enough experiments to "settle it".
And why do we know this again? Oh right, because we have done it enough times to verify it. (The scientific method).
Probabilities is what yield you your expectations for your statistical model.
Again let me try and explain how probabilities work, and why they are so peculiar.
The probability of rolling two dice yields a Maxwellian distribution as we talked about earlier. (Hint: a Maxwellian distribution looks like a tall hill with vertex at the highest probable event.)
This is what we expect to see with a high amount of statistical data.
Now lets take the example of Settlers of Catan i mentioned earlier. Despite the probabilities, and even despite the statistical model being consistent with 1000 games of Settlers of Catan, you can still play that many games of Settlers of Catan without having a single individual game being consistent with your statistical model.
This is exactly what I am trying to convince you of. The rule of drawing and turning all damage cards is a waste because almost no ships benefit from it, and when they do, during those unlikely scenarios even probabilities are irrelevant for the decision process unless you expect to win exactly as many games as the probability of you getting what you expect.
If I am rolling one die once, I have a 1/6th chance of rolling a six. If I am rolling two dice once, I am 1/6th chance of rolling a six on one of my dice and 1/6th chance of rolling a six on the remaining die.
Yes, I am aware of how SUM OF THE DICE works with probabilities, but this information becomes only relevant for you once you roll more dice. On a single roll, anything can happen.
To understand this you need to isolate yourself from statistical data. Imagine being 5 years old and not knowing mathematical models at all. You pick up your two dice for the first time in you life and you roll them. You get an one and a two. Unlikely but probable is NOT what you are thinking. Its just an outcome. It is only when you begin to roll these dice again and again that you learn of its Maxwellian distribution.
Yes, what you are saying is relevant in a game of poker. In X-wing, it is not due to the nature of the game. Especially the fact that X-Wing relies much more on the physical properties of the game, where as poker only rely on probabilities.
I am not denying that the probabilities exist, I'm merely trying to express that the probabilities are irrelevant and not in any way consistent to work with because they are probabilities. Its only when you have done it enough times that the probabilities stabilizes and the pattern becomes relevant. For a single game itself, it is not important information due to the nature of the game.
