Gamers Are Fierce - Chapter 956
[Chapter 955 Cheating (4k)]
“Wait,”
Hohenheim reacted instantly and asked back, “It doesn’t seem fair, doesn’t it?
The coin is yours, and the toss is yours. How can I be sure of the fairness of the game?
” If you harm you, it will not appear in your sight.”
Claude pointed to the corpse of the giant wild boar under the stone pillar, and said casually: “Have you seen that wild boar? A creature several times stronger than it. , There are countless animals in this forest.
No matter how well you prepare, if you can’t find the law that the forest automatically changes its position, you will be consumed to death in this forest.
And I just need to wait quietly in the distance. , you can harvest the materials and props on your body.”
Claude indifferently threw the coin in his hand to Hohenheim, the
coin flew halfway in the air, and was grasped by a transparent mage hand released by Hohenheim, hovering. in mid-air.
“Don’t you have a magic book?”
Claude pointed to the book of sand in Hohenheim’s hand, and said, “You can use it to detect coins and see if I’m cheating or not.”
He actually agreed with me to use spells?
Hohenheim narrowed his eyes slightly, and the book of sand that was flipping in his hand paused imperceptibly, then quickly locked a few pages and released several identification spells with different functions.
This coin is made of brass alloy, the thickness is even and smooth, the obverse is a human head with wear marks, and the reverse is a snow mountain, with a diameter of 40 mm, and its weight is heavier than the coins in the real world. currency.
No supernatural traces were detected.
Hohenheim silently reduced the mana output of the detection spell, and
saw Claude took the coin from the hand of the spell and said: “The head is positive, the snow mountain is negative, in order to show fairness, the first round, let me start first.
The sequence I chose is, inverse anyway.
That is, Snow Mountain – Avatar – Snow Mountain. ”
…”
Hohenheim thought for a moment, “then I choose, anyway. ”
“Oh? React quickly.
Claude grinned, and Hohenheim smiled lightly without explaining. ”
I started to vote .” Claude’s arm in the
middle of his chest, stuck the coin with his thumb nail, and flicked it upward.
The coin was raised high, spinning continuously in the air, reflecting the sunlight penetrating the dense canopy.
Hohenheim’s pupils shrank suddenly, the book of sand in his hand The detection spells released, frantically calculate the kinetic energy and potential energy conversion trends of coins, and map and estimate the trajectories of coins rotating, flying, and falling.
In the short time when Claude explained the rules, he already understood the rules of the game.
【Both sides Choose a sequence of three heads and tails of coins, and keep flipping coins until the sequence appears, then it counts as a victory.]
This rule seems fair, but in fact it is not equal. The party who chooses the sequence later has a huge advantage, regardless of the first No matter what sequence is selected, the latter hand can have a relatively better solution.
Taking the inverse of Claude’s choice in this round, that is, 010, as an example,
the inverse of Hohenheim’s choice, that is, 001, is better than the former in probability.
Because in an infinitely long sequence (assuming that the coin has been tossed all the time), the winning condition of 001 is the occurrence of 1001 or the occurrence of 0001,
and if 010 wants to win, it can only be 1010. This possibility ,
because if the sequence of 0010 appears,
then the backhand side who chooses 001 will win directly before 010.
It is equivalent to one less chance of winning than the opponent.
From the point of view of 001 chosen by Hohenheim, one of the preconditions for the opponent’s victory is actually the basis for his own victory.
Unless the result is directly thrown in the first three throws of the opening, the probability of 001 will be infinitely extended forever. In the ray-shaped sequence of , it takes precedence over 010-because of the rules of the game, it is [the corresponding sequence appears first], not [find out in the infinitely long sequence].
Snapped.
Claude caught the coin with the back of his left hand, covered it with the palm of his right hand, and then slowly opened it.
The side of the coin that faces up is the head of the character, which is the positive side.
“Ah, no one hit the first toss.”
Claude grinned, “come again.”
He continued tossing coins.
Second shot, positive,
third shot, reverse.
The first three shots are pros and cons, and no one can guess.
Hohenheim was silent. The probability of hitting all the first three shots was too low. The next few shots were the start of the game.
Fourth shot, positive,
fifth, positive,
sixth, reverse,
seventh, reverse,
eighth…forward.
Won.
A light flashed in the depths of Hohenheim’s eyes,
Claude sighed, looked at him and smiled: “Good luck. In the first round, you won.”
Hohenheim’s eyes narrowed, not luck, but In simple probability calculations, his 001 sequence has a two-thirds probability, which is about 67%, better than 010.
This is not to say that 001 is the optimal solution, as he has calculated, among the eight possibilities (000, 010, 001, 100, 110, 111, 011, 101) of the three-digit sequence of 0 and 1,
111 The probability of winning with 000 is the lowest. 011 and 100, both 7 out of 8, or 87.5% probability of winning.
The sequence of 100, 001, 011, 110, etc., are mutually superior and inferior solutions, forming a cycle of mutual growth and mutual restraint, like reincarnation like rock-paper-scissors.
For a gambler, a 55% probability of winning is already a huge advantage. If he can control the winning probability at 67% or even 75%, he can almost invest his entire net worth, and there is no reason not to continue to call.
Claude said slowly: “Three wins in five games. In the second round, you choose first.”
“…”
Hohenheim thought for a moment, then said slowly: “I choose, pros and cons.
” A cycle is formed, but the restraint probability of 011 and 100 is relatively low.
Claude said with a smile: “Then I choose, pros and cons.”
Sure enough, Hohenheim’s heart sank. The number sequence chosen by the other party is more probable than his first solution, but… there may not be a chance for a comeback.
The result of the second round of throws is .
Anyway, it’s positive and negative anyway.
Win again.
Hohenheim’s frowning brows stretched slightly. The only solution for his pros and cons to win is to throw three consecutive positives in addition to the first three shots to break the opponent’s positive and negative suppression, and again on the basis of , cast your own results.
It is equivalent to a double decision, and the probability of winning is not high.
“Wow, it looks like luck is really on your side.”
Claude whistled, tilted his head, and raised a strange arc at the corner of his mouth, “It’s match point. Then in the third round, my choice is right.”
“Huh?”
Hohenheim’s eyes narrowed, deeply Looking at the opponent, the probability of three consecutive positives is not high. If he chooses to suppress anyway, then the opponent’s winning rate will be infinitely reduced, and he
must directly cast the positive results in the first three shots. , it is possible to win-
because once the sequence exceeds the top three, then there will inevitably be a situation of [there must be a negative before the positive], no matter which one chooses the positive one will not lose.
The odds of winning are…87.5%.
“I choose, it’s positive anyway.”
Under the cold probability calculation, Hohenheim had no reason to choose other solutions, and immediately gave the answer.
“Very well, then, I’ll start.”
Claude’s thumb nails snapped the coin.
The round sheet of brass alloy seemed to rotate slowly and quickly in the air, and finally fell on the back of Claude’s hand and was caught by a sudden borrow.
The result shows… [positive]
“The first vote was not bad for me.”
Claude grinned, ignoring the dense probe-like monitoring techniques in the void, and repositioned the coin on the thumb nail , pops up again.
Clang –
still, [positive].
The atmosphere around Hohenheim changed suddenly, and his 87.5% win rate was based on the failure of the first three rounds to shoot correctly.
For the opponent to win, it means that the probability is 1/2 times 1/2 times 1/2, for a total of only 1 in 8 probability.
“The third round…”
Claude flipped the coin flexibly with his fingers and tossed it again.
The brass alloy coin swirled, fell, and was clasped by the palm of the hand.
【just】.
“One-eighth probability, I win.”
Claude whistled easily, “The fourth round…”
“Wait a minute.”
Hohenheim raised his palm, “The next two rounds, it’s up to me How about throwing?”
He has never been a person who believes in probability, and as a player, he also believes that the system will not set up a kind-hearted grandfather full of magic weapons in the difficult dungeon as a caring guide for the player.
The other party must have used some means to let him fall into the trap.
“Okay.”
Unexpectedly, Claude nodded generously and threw the coin to Hohenheim at will.
As before, Hohenheim held the coin in the hands of the invisible mage, used his reconnaissance spell more carefully, and looked at it.
The heads of the characters on the coin are more severely worn, and it can be vaguely seen that his face is angular, his eyes are deep, his nose is straight, his facial features are straight, and he has short curly hair. From
the perspective of universal aesthetics, he is still a handsome man.
The three-armed monster Claude in front of him is very different.
Hohenheim raised his head and asked, “Who is the head on this coin?”
Because the coin was severely worn, he didn’t have to worry about appearing [the characters on the coin are extremely well-known in the script world, they don’t know each other, and Claude will suspect their identity ], the reason can be pushed to “unrecognizable” anyway.
“Who else could it be? The head of the seven pirate kings in the boundless deep sea, the commander of the invincible fleet, the symbol of all the wealth in the world – Tixiu.”
Claude was a little puzzled, “This copper coin is me in this forest. It was accidentally picked up by Li, and it is estimated that it was left behind when Qian Xiu and his subordinates came to the holy mountain to worship, a long time ago.
Or maybe it was brought in by a certain generation of travelers.
He gave Hohenheim a strange look, “Could it be that you thought the person on the head was me ? Am I so ugly? ”
Uh, no no.” ”
Hohenheim resisted the urge to complain, the three-armed geek’s appearance is so bizarre that it can be thrown into the gloomy scene of a horror game in the real world,
as a monster that creates the effect of jumpscare (sudden fright), and coins. The handsome guys on top are one in the sky and the other in the ground.
It’s almost the difference between Duan Yanqing and Duan Yu.
But it may be normal. Anything can happen in the killing game. Maybe Claude’s ethnicity has abnormal aesthetics,
which has happened before. A fat player entered the dark area of the scripted world, where he was warmly received by a group of drow elves who regarded fat as their beauty, and killed the thin and handsome guy in the player’s team, leaving him alone. Live a happy life – although the result is that this group of players fell into the web of man-eating spiders, everything is an illusion, but it does not affect the effectiveness of this rule.
Don’t talk about beauty and ugliness with the natives of the scripted world.
Claude spread his hands and said: “I chose first in the last round, this round, you come first . ”
Hohenheim took a breath.” I choose, pros and cons. ”
It was just an accident. Before he could see the problem, the probabilistic restraint relationship still took effect.
Claude grinned, “Then, I choose anti-anti-anti. ”
It’s the same again!
The bottom of Hohenheim’s heart sank. The probability of pros and cons is also better than that of reverse, and the winning rate is still 87.5%. In
this round, he is the first one to choose.
After he chooses pros and cons, the other It is completely possible to choose pros and cons to exercise restraint on the 67% winning probability, but the opponent did not choose pros and cons.
On the contrary, he chose the anti-anti-anti-anti-anti-counter with only one-eighth of the winning rate.
There must be something wrong.
“Now that it’s decided, let’s start tossing.”
Claude glanced at the coin floating in the air, tilted his head, and urged.
“…Okay.”
Hohenheim’s eyes narrowed slightly, the coin was being firmly grasped by his mage’s hand, and the power to throw was in his hands.
The mage’s hand is an extension of his own magic power, and it is even more flexible and controllable than the palm of his hand.
‘Let me see, are you cheating…’
The invisible palm bounced the coin, and the coin flew and rotated on its own, drawing a straight line in mid-air.
Snapped.
The Mage’s hand, composed entirely of magic power, firmly caught the brass alloy coin at the same height as it was tossed.
There was a flash of light in Hohenheim’s eyes. He didn’t cheat, but he already knew the result.
The magic-infused surveillance spells in the air stared intently at every spin of the coin, calculating the result before it fell and was caught.
I have already won.
Hohenheim felt the magic power lost in his body (the surrounding low free energy environment is extremely unfriendly to players who specialize in spellcasting), and opened the coin at an extremely slow speed.
Wait,
Snow Mountain?
Hohenheim’s eyes widened slightly, he suddenly raised his head and stared at Claude, and said in a low voice: “You cheated.”
“Is there?” On the
stone platform, Claude smiled: “You tossed the coin. , and you caught it.
As a mage, you should know very well whether I interfered in the casting process just now.
Don’t make the situation too ugly just because you will lose…” The
three-armed geek scratched his cheek lightly with his right hand, drew bloodstains, and said with a smile: “Besides, even if I cheated, as long as you don’t Evidence can confirm that the
game is still valid. ”
[End of this Chapter]
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