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I know it is just confirmation bias and its just as likely to be a regular hand, but it sure doesn't feel like it.
Which is 9 times in 10000, or just under 1 in 1000.
If 100 people play 10 games each, this is very likely to happen to one of them once.
But if one person plays 100 games, the odds of it happening to that person are around 1 in 10.
The odds of it happening twice in that 100 games are around 1 in 100.
The odds of it happening 6 times as you say are around 1 in a million.
Assuming you've only played 100 games.
If 10,000 people are playing 100 games, the odds of this happening to one of those people are back down to around 1 in 100.
A lot of people play a lot of games. The unlikely things are very likely to happen to some people some times.
I'm not defending the game at all, because it's a piece of garbage. I'm just basically saying yeah, numbers can do that.
Of course, the game is rigged, but only because it's full of glitches around the rules and cards not working right all the time. (Seriously, WHY does it give you the chance to do nothing with a card you just cast that does ONE thing? Not even a warning?)
This calculations are wrong because you didn't consider the starting hand. If your starting hand is bad, better mulligan. If you assume 3 lands in starting hand you get this numbers:
21/53 * 20/52 * 19/51 * 18/50 * 17/49 * 16/48 * 15/47 = 0.00075436406
I frequently start with 1 land or 6, not rarely, not one night where I was cussing at my terible luck, I frequently as in over a dozen rounds a day have this happen. The weirder part is when I have 5-7 land in my starting hand, for three turns I draw land (then quit). And the opposite happens when I start with 1 or 2 land (I'll mulligan to five cards for a second guaranteed land) and I usually quit after three turns of not drawing land but instead my most expensive spells.
That's why I only play green and blue decks with cheap land grab and cheap ways to filter through cards. Calling it "rigged" implies the other player somehow controls it, that's ♥♥♥♥♥♥♥♥. It's just an error in the coding.
In XCOM 2 people are having the same issue that the RNG seems to hate you, but they don't realize that a 1/20 chance means a 1/20 chance to miss(95% accuracy with, like a sniper or something), not a "you're hitting this alien no matter what." Someone actually went and di the math, and found that the RNG was working perfectly fine. They repeated the same shot % over and over in different missions, and the result was that every % hit approximately how many times the prediction said it would. (It should be noted that on lower difficulties people report exactly the same problem, when in fact the RNG is actually weighted in the player's favor.)
So I'm betting if you recorded a hundred games across a hundred players, you'd find the distribution to be roughly what probability says it should be. If you actually find differently, then that would be a significant discovery and worth pointing out to the devs(I don't really know how good they are about solving bugs, so good luck with that I guess?).
tl;dr shut up until you have supporting evidence to substantiate your claims.
but there are a couple of non green cards to help you get land(if you can make it to 3 mana)
By the way, why everyone talk about houndred or thousands of players, in 100 draws you should get screwed once for example, or at least in 1000 draws 10 times, no more, no matter what. Bad luck can't hit just certain players, with more games, and more players, you have good chance to not be hit by bad draws, but yet, every day you got few games like that.
If we assume that player avarage plays 15 games per day, that can be probably 30 draws per day, with free mulligans, and mulligans bellow 7(many time you would not mulligan). So Impossible hands like 7 lands, should happen every 3rd player once per day, but if that happens 3 times per day than it is much more than it should...
For example chance of getting more than one land in 26 lands deck is 0.986070637988568, so it means that in 1.4 games per 100 games you should got one, so that means that one player of 3 players should get it once per day, yet often I got it 2 time in row(with free mulligan), and in several games per day, and I should got it once in 3 days(if we assume that I'm the one of 3 players observed)... So it is obvious that RNG is not working as you state, even if you take in calculation number of players and games.
Yes, they are gone to your starting hand, so you can't draw them anymore. If you draw 7 lands into your starting hand: mulligan.
To draw a land for your first hand as your first card, it's a 20/60 chance. To draw another land as your second card, it is a 19/59 chance. It doesn't magically become a 380/3540 to draw your second card as a land because your first card was a land. 380/3540 is merely your chance, for this game over every game everyone ever has and will play(with a 20-40 deck), to draw two lands as their first cards for the game. Even if you've drawn 6 lands in a row, your chances of drawing another land are still 14/54, not the astronomical 390,700,800/1,946,482,876,800( or .02%) chance that you think it should be.
Likewise, the universe doesn't remember that you just got mana-flooded or mana-draught two times in a row. In fact, since you're not drawing from the depleted version of your deck after a mulligan, your chances of getting a bad number of lands is exactly the same.
The problem with your calculation is that no one really starts counting until they draw a land. so really we should calculate the odds of drawing 6 lands because the first one is assumed.