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  1. The origin of Plinko The game of Plinko has its origin sometime in the late 1800s and was originally constructed by mathematician and statistician Francis Galton. He built what is called a "Galton box" to prove that with a large enough sample, a binominal distribution (i.e., when there are two options with an equal chance of outcome) will result in a normal distribution (also known as the Bell curve). If you were to collect every ball from a game of Plinko down at the bottom, you would find that the balls would form a near-perfect Bell curve. Your balls would pretty much end up like this But why is that? Surely there must be some scam to all this? After all, there's a 50/50 chance for the ball to go left or right at every step to the bottom. Shouldn't that mean that every area at the bottom has an equal chance of catching the ball? Nope, unfortunately, that's not how it works. So how does it work? Let's say we only have one peg; the ball would have a 50% chance of going left and a 50% chance of going right. But if you add another row with two pegs, the results will be a bit different. We first have an equal (50%) chance for the ball to go right or left. Let's say our ball went left. Then we have a 50/50 chance of it going right or left again, but to get the probability of the ball going left and left again, we must take the whole board into account. Because there's half of a 50% chance for the ball to go left twice, or two 25% chance of the ball going in the middle, for every row you add, it keeps dividing the chances. The next row would be 6,25% - 25% - 37.5% - 25% - 6.25% and so on. If you add all 16 rows (16 pegs at the bottom row) the ball will have 2^16 possible paths it can go. That’s a total of 65,536 paths! Exponential decrease in chance Now, to calculate the probability of the ball ending up at the far left or far right, we must divide the chance above with 2—all the way down to the bottom. Row Chance in % 2 50% / 2 = 25% 3 25% / 2 = 12.5% 4 12.5% / 2 = 6.25% 5 6.25% / 2 = 3.125% 6 3.125% / 2 = 1.5625% 7 1.5625% / 2 = 0.7812% 8 0.7812% / 2 = 0.3906% 9 0.3906% / 2 = 0.1953% 10 0.1953% / 2 = 0.0976% 11 0.0976% / 2 = 0.0488% 12 0.0488% /2 = 0.0244% 13 0.0244% / 2 = 0.0122% 14 0.0122% / 2 = 0.0061% 15 0.0061% / 2 = 0.0030% 16 0.0030% / 2 = 0.0015% Because there’s a 0.0015% chance that the ball ends up either at the far left or the far right, there’s a total of 0.003% chance of the ball hitting the highest payout. But what does 0.003% chance mean? Statistically, it means that for every 33,333 balls you drop, one ball should (statistically) have hit the far right or far left. But that's just how it works in theory. In reality, you could drop two balls and have both hitting either far right or far left. That is, however, very unlikely. Playing 33,333 games without hitting far left or far right a single time is also possible. Because the probability, or chance, is the same for every ball you drop. We, humans, tend to make up our own logic, such as "the more times I have played without hitting the highest multiplier, the higher the chance that my next game will hit the highest multiplier". That's not true. Let's take a coinflip as an example. There's a 50/50 chance to hit either heads or tail when flipping a coin. Let's say that we get heads on our first flip. On our second flip, we still have a 50/50 chance to hit either heads or tail. The same goes for the third flip, the fourth and fifth and so on. The coin, physics and math don't keep track of how many times you have flipped your coin to adjust the odds for one or the other side to end face up. Every flip is a whole new flip, with the exact same odds. You can calculate the odds of getting, i.e., five heads in a row. But I won't cover that in this post; it will eventually get a post of its own. Provable fair Plinko is a provable fair game at BC.game. That means that the result is known way before the ball hits bottom. This is calculated through the client seed + nonce, and the server seed goes through an algorithm, which will give the game's result. Since the casino provides its seed (encrypted) before you start the game, the casino can't change it without it showing. Client seed: This is the seed you can change yourself. Server seed: This seed is provided by BC.game. Nonce: The number of times you have played using the client seed. The hexadecimal numbers resulting from client seed, nonce and server seed are then converted to base10 numbers. These will, in turn, be calculated in groups of 4 to a number between 0 and 1. If the result from the first 4 base10 numbers is less than 0.5, the ball will go left; if it's higher than 0.5, it will go right. The math for these four first numbers will look like this. This will be the same as: And equals the number: 0.6657153440173715. So, it’s more than 0.5, which means the ball went right. The next would be (100/256^1) + (82/256^2) + (79/256^3) + (240/256^4) = 0.39188098534941673 – This is less than 0.5, so the ball went left. Conclusion Each time you play a game of Plinko, there's a 1 in 33,333 chance that your ball will end up either at the far right or far left multiplier (as this example with 16 rows shows). This doesn't mean that you can only hit the highest multiplier once every 33,333 games; it is just a measure of the probability of hitting the highest multiplier. You may hit the highest multiplier two times in 10 games or no times in 50,000 games. You can, however, check to ensure that the casino isn't deceiving you by checking the provable fair algorithm. And if you don't trust the result on the provable fair link (provided for every in-house game), you can always calculate the result yourself.
  2. I created this topic because Plinko is one of the games that is easy to play but hard to win and i know many of you been in confusion while dropping balls ,so i explain the exact posibility of each drop ,these are my own mathematics and will be published with more details in my twitter page,please note that these results can be used in all the websites and casinos if their scripts don't go off the table ,here are odds for plinko high risk ,16 drops from 1000 to 0.2 : for hitting x1000 : 1 outta 32786 ( 1 hit in every 32786 bet is your chance ) 1÷2 x negative power 15 for hitting x130 : 1 outta 2131 (1 hit in every 2131 bet) 32781÷2÷7.69(17-1& 16393) square root of 16 for hitting x26 : 1 outta 426 (1 hit in every 426 bet) for hitting x9 : 1 outta 147 (1 hit in every 147 bet) for hitting x4 : 1 outta 32 (1 hit in every 32 bet) for hitting x2 : 1 outta 8 (1 hit in every 8 bet) for hitting x0.2 : 1 outta 1.25 (3 in every 4 bet) 4 drops x0.2 is 8 square root =0.5 x 2 =1 ÷ 1/4=0.25 +1=1.25 i hope you'll find this helpful for playing plinko and any reward to Dr.Lakewood will be appreciated.best of luck
  3. As per my game experience i found that plinko is not a fair game here i finished my rolls 75k above in high level but still it is not beating 1000x s per the fair rule it should be beat in between 32k i don't think this is fair .i verified with customer support they told me to check the verify if i will do that the nonce will be zero and i will loss the game until i played
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