Do you know the interesting thing buzzing around in the subject of math? Well, read on for our story #16.
The #SquidGame glass bridge game explained with probability on Reddit. Yes, you read it right!
The post does contain few #spoilers!
#TheGame:
Game in Episode 7 of the series:
The game involves a giant bridge of alternating stepping stones made of either tempered or normal glass. The glass bridge game has 16 players and a bridge with 18 steps.
Each player must go in a predetermined order. At each step, the player has to choose between two seemingly indistinguishable sheets of glass. One made of tempered glass. Another of regular glass.
Steps of tempered glass will hold the weight of two people while normal glass cannot support one, sending them down to the abyss below.
The game started with 16 players but ended with only 3 able to cross it.
#TheMath:
For the first player, the game is certainly a death sentence. The probability of making one step correctly is 50% or 1/2. So the probability of making 18 correct steps in a row is (1 / 2)^18 or 1 in 262144.
One Reddit user ‘theydidthemath’ took to the internet forum to work out the best mathematical way to beat the game.
They said: “At each step the panes are randomized, and the players have no way of knowing which is which until they jump on one. Each step is essentially a 50/50 guess, and all 18 steps must be crossed in order.”
The Reddit user wondered what was the best position to choose to have the best chances of safely crossing the bridge?
One user responded by saying: “If you wait in position 10 then you're starting to have a realistic chance of making it ‑ 6%.”
“But the odds are never really in your favour; even if time is no issue and you go at position 16, you only have a 36% chance of making it across. It's like they WANT you to die.”
Did you know so much math was involved in a small game?!
The image shows the resulting exact probabilities.
Sources:
<1> Squid game - Netflix show.
<2> “Squid Game puzzle solved using maths on Reddit” by EMILY SLEIGHT, NATALIE CROOKHAM in Express.
<3> “The Squid Game glass bridge game explained with probability” by Lakshay Akula.
<4> Google images.
#mathstory #mathnmovies #mathnbooks #story16 #netflix #squidgame
The #SquidGame glass bridge game explained with probability on Reddit. Yes, you read it right!
The post does contain few #spoilers!
#TheGame:
Game in Episode 7 of the series:
The game involves a giant bridge of alternating stepping stones made of either tempered or normal glass. The glass bridge game has 16 players and a bridge with 18 steps.
Each player must go in a predetermined order. At each step, the player has to choose between two seemingly indistinguishable sheets of glass. One made of tempered glass. Another of regular glass.
Steps of tempered glass will hold the weight of two people while normal glass cannot support one, sending them down to the abyss below.
The game started with 16 players but ended with only 3 able to cross it.
#TheMath:
For the first player, the game is certainly a death sentence. The probability of making one step correctly is 50% or 1/2. So the probability of making 18 correct steps in a row is (1 / 2)^18 or 1 in 262144.
One Reddit user ‘theydidthemath’ took to the internet forum to work out the best mathematical way to beat the game.
They said: “At each step the panes are randomized, and the players have no way of knowing which is which until they jump on one. Each step is essentially a 50/50 guess, and all 18 steps must be crossed in order.”
The Reddit user wondered what was the best position to choose to have the best chances of safely crossing the bridge?
One user responded by saying: “If you wait in position 10 then you're starting to have a realistic chance of making it ‑ 6%.”
“But the odds are never really in your favour; even if time is no issue and you go at position 16, you only have a 36% chance of making it across. It's like they WANT you to die.”
Did you know so much math was involved in a small game?!
The image shows the resulting exact probabilities.
Sources:
<1> Squid game - Netflix show.
<2> “Squid Game puzzle solved using maths on Reddit” by EMILY SLEIGHT, NATALIE CROOKHAM in Express.
<3> “The Squid Game glass bridge game explained with probability” by Lakshay Akula.
<4> Google images.
#mathstory #mathnmovies #mathnbooks #story16 #netflix #squidgame
