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INTRO
Hi guys I am your Lucky Journal and today's topic is a bit different and a heavy mind task for all of you. So, today's topic is A Year of Solution To The Impossible Bet in Review. If you think that you have super mind😎😎powers then you should try this statement before seeing the solution below.I strongly recommend you to read the whole article to boost your super-duper mind If you were able to do so then please 🙏let me know in the comment box, I will be obliged.
A Year of Solution To The Impossible Bet in Review
Ok, so first look up to the statement-- 100 people have marked dollar bills and are put randomly into 100 boxes, and every person, one at a time, gets to study in fifty of the boxes, and you all collectively triumph only if every single person finds their own bill.
I know you would ask why to use our mind without a prize so actually, there is a prize- $100 payout to each of you if you win, nothing if you lose.
(Note: Not from Me 🤣🤣🤣😭😭😭😭😭😭😏😏)
SOLUTION
I propose, apparently, if all 100 of you players just choose 50 boxes at random when you go into the room, the likelihood (simply probability) of each of you finding your bill is a one-half chance, so the probability of all of you finding your bills and winning the whole game is one-half times one half, a hundred times and so on.
And one-half power of 100 is about 0.0000000000000000000000000000008(🥵)Fundamentally zero. You're more likely to one-roll dice in a row - and then pick the king of hearts at random out of a deck of cards. This trick decelerates with quantity.
This can be done a little better by trying to correlate with the boxes you pick - ok see, if there were only two people and two boxes, they should choose various boxes, because if all pick the same box only one of them can find their own bill, and they'll automatically lose.
But this sort of tactic only improves your odds a tiny little bit, and it has less benefit the more people there are. However, despite all this, it turns out that there's a strategy that results in your gamblers winning over 30% of the time!
This tactic is so genuine that you're more likely to win using it than if just two people out of a hundred picked randomly, since one-half times one half is twenty-five percent. What we’ve neglected is that you can gather information from the boxes themselves, because the room is the same each time.
The initial box will ever have the same-numbered dollar in it, and so will the second box, the third, the fifty-seventh, etc. All you ought to do is use the dollar in one crate to tell you which box to go to next. This might not appear like great support, but it's huge in a mass of 100 gamblers.
So do you want to know the main basic trick? Then here it comes.
The trick is, to begin with, the box that matches your number. Your dollar apparently isn't in that box, but the bills inside will take you on a casual path through the boxes, a scavenger hunt where each box tells you where to go next.
Ok, I will make it easier in the next paragraph but if you have seen a scavenger like vultures and Hyena then you would understand it more appropriately.
You can conceive of this as connecting up boxes in chains, connecting them based on the bills inside. Any irregular composition of the boxes results in a different set of chains, some long, some small. So just you have to do is to always look in a set of chains.
Short chains are ones like "box 23 says go to box 45, box 45 says go to box 2, 2 says to go to 9." That's a chain of links. Long chains link up more further boxes before circling back - and the longest possible chain links up all 100 boxes.
Probably before your chances run out you would be able to find your dollar.
But every chain constantly loops back, since there are finite boxes.
And of course, if you finish up back where you began within 50 boxes, you've won, because that means the previous box had a dollar bill that told you to go your starting point, and you started on your number, so the previous boxes dollar bill was yours!
And that's why this tactic is so good - because when the boxes are randomly ordered, about 30% of the time there will be no chains connecting more than 50 boxes, so not simply will you succeed, but so will everyone else - as long as they’re following the same strategy!
The magic of this solution isn't that its better odds for any single individual to find their dollar it's that all of the successes and failures are forced to happen together - everyone wins together, everyone loses together - your fates are linked by using the numbers inside the boxes to guide you along invisible chains towards victory and making you and us inevitable.
I hope you understood the solution and please give your reactions and suggestions in the comment box and would definitely be appreciated and bye till the next article.
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Comments
"everyone wins together, everyone loses together" Followed by a smile on my face! WELL DONE.
ReplyDeleteThanks Mr. Antriksh for reaching out to me. And rightly said that everyone wins together and everybody loses together. Actually Possibilities are endless where unity in diversity exists.
DeleteVery good thoughts,nice thoughts
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DeleteYou have knowledge in every field. I am really impressed!!!
ReplyDeleteKeep it Up!
Thank you Mr. Mayank for your prestigious appreciation. I will bring out my best for all of you. My hard work comes true when i see such type of comments. Thank You for your love.
DeleteHey lucky journal u are just amazing ur thoughts are really impressive keep it up 👍
ReplyDeleteThank you my friend for your prestigious appreciation. I will bring out my best for all of you. My hard work comes true when i see such type of comments. Thank You for your love.
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