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I play with a friend that complained about this. I disagreed with him. After doing several begining to end game stat tracks, he agrees now. There really isn't that big a discrepancy if any on dice rolls. We have a tendancy to remember the bad more than the good. If anyone really feels this is wrong, I challenge you to screen record your games, and show me a couple where you just feel it makes no sense.
I completely agree this request for creating an actual dice roll algorithm. The current faulty dice wreck games when people get positively screwed and then leave the game.
The faulty dice mechanics are especially damaging to Risk games with Fixed card trade in rather than Progressive due to recovery time.
As a statistician, I can tell you that we humans are very poor at determining when a process is random and when it is not. Here's an example that my stats professor gave me when I couldn't understand how a roulette wheel could bring up a bunch of "red" in a row. Consider 2 scenarios.
Take a deck of cards, remove all but the face cards. We're left with 12 cards, 4 K, 4Q, 4J. I want to draw a K because it is a high card and will let me win. The probability of drawing a K is 4/12 or 33%. So shuffle the deck, I draw one and it is a K. Yea. Now what is the probability I can draw another one. Less than 33% right? Sure it is 3/11 or 27 percent. Want to draw a third K, probability is 2/10 or 20%. Here's the point, drawing one K changes the probability of drawing a second one. It's called conditional probability because the likelihood of drawing a K depends on what happened before. Drawing without replacement.
Scenario 2. Same deal, only after I draw a card, put it back into the deck and reshuffle. So I draw a K again, likelihood 33%. I put the K back into the deck and draw again, what is the likelihood of drawing a K? It's the same. Probability here is not conditional based on what happened before. Drawing with replacement. Dice are like this. They have no memory.
But we Risk players do hate it when we get a run of the same result that goes against us. Of course we do. I just built an Excel spreadsheet that randomly pulls H or T like a coin. I ran it 50 times. Run 25 was a T, Run 26 was a H followed by 7 more heads in a row. If I'm at a roulette wheel and see Red turn up 7 times in a row, my gut tells me the next will be Black. It's just no so.
As Frog said, show me your data.