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Prove it - Ep2: Another random walk
In the second episode of Prove It, we present another intriguing probability puzzle involving a random walk. To make it more interesting, we've included a fun twist that adds to the complexity of the problem. So dive in and start solving.
Don't forget to submit your solutions to the puzzle via the link below. Good luck!
optiver.com/prove-it-2/?Organic-YT&SocialMedia&Prove-It
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Prove it is an interactive problem-solving series designed for maths enthusiasts of all ages looking to elevate their skills. You don't need to be a mathematician to dive in - all you need is your curiosity, creative thinking, and a basic understanding of probability.
At Optiver, we use maths, science, and technology to create innovative solutions for real-world problems in our day-to-day.
Curious to discover how you can apply your maths skills outside of the classroom? Jump into a world of probability and maths with Prove It!
#maths #probability #puzzle
Переглядів: 2 535

Відео

The Optiver Foundation Oxford Scholarship Programme
Переглядів 70628 днів тому
Our first cohort of STEM scholars from the Optiver Foundation Scholarship Programme at the University of Oxford are near to completing their 2023/2024 Master's studies-well done all! This initiative, launched in 2022, empowers women from low- and middle-income countries, by providing 30 scholarships over five years for #postgraduate STEM (science, technology, engineering and mathematics) educat...
Prove it - Ep1: A Chance Encounter
Переглядів 8 тис.Місяць тому
Prove it is an interactive problem-solving series designed for maths enthusiasts of all ages looking to elevate their skills. You don't need to be a mathematician to dive in - all you need is your curiosity, creative thinking, and a basic understanding of probability. At Optiver, we use maths, science, and technology to create innovative solutions for real-world problems in our day-to-day. Curi...
Inside Optiver's ninth global office in Singapore
Переглядів 1,3 тис.2 місяці тому
Located at the heart of Singapore’s financial district, our ninth global office has grown since our opening in 2021. Discover why we opened an office in Singapore and how you can accelerate your career with us. optiver.com/working-at-optiver/internships/ optiver.com/graduates #trading #technology
Meet Jing, Application Engineer at Optiver
Переглядів 7122 місяці тому
Jing shares insights into what she does at Optiver, as well as the opportunities she's been given to relocate from Shanghai to Singapore. She also shares her top tips for future leaders that are considering a career in #STEM. Discover more about #technology at Optiver optiver.com/working-at-optiver/technology/ Or explore the exciting #career paths available. optiver.com/working-at-optiver/inter...
Meet Lih Wen, Head of Technology in Singapore
Переглядів 6532 місяці тому
Lih Wen shares insights into why tech at Optiver is so unique, as well as how she's been supported in her rise to leadership. She also shares her top tips for future leaders that are considering a career in #STEM. Discover more about #technology at Optiver optiver.com/working-at-optiver/technology/ Or explore the exciting #career paths available. optiver.com/working-at-optiver/internships/ opti...
Optiver at USyd O-Week
Переглядів 2352 місяці тому
We recently visited the University of Sydney, connecting with students and sharing what it's like to work at Optiver. Keen to meet the team? Join our next event. optiver.com/recruitment-events/ Or explore the exciting career paths available. optiver.com/working-at-optiver/internships/ optiver.com/graduates
Optiver at UNSW O-Week
Переглядів 1972 місяці тому
We recently visited the University of New South Wales, connecting with students and sharing what it's like to work at Optiver. Keen to meet the team? Join our next event. optiver.com/recruitment-events/ Or explore the exciting career paths available. optiver.com/working-at-optiver/internships/ optiver.com/graduates
Optiver Chess Championship 2024
Переглядів 9613 місяці тому
Our Amsterdam HQ hosted 40 students for the live final of the second edition of the Optiver Chess Championship. The event featured a Q&A with Anish Giri and Optiver’s founder, friendly games with International Master Eline Roebers and networking with other chess enthusiasts. Watch the recap to see how passion for chess, technology and trading united for this exciting event. To stay up to date w...
Empowering future traders with Optiver and Imperial College course
Переглядів 9384 місяці тому
Optiver joined forces with Imperial College London to offer a unique eight-session module aimed at introducing finance and STEM students to the world of trading. The course combined in-depth theory and hands-on practice on Optiver's proprietary simulated trading environment to create a unique learning experience. Learn more about the course: optiver.com/empowering-future-traders-with-optiver-an...
Optiver: An exciting place to work
Переглядів 1,2 тис.4 місяці тому
From collaborating on complex problems to accelerated learning through our world-class training, John explores the factors that makes Optiver a unique place to work. He also shares useful insights into the qualities that we look for in interns and graduates. Ready to accelerate your career in a global trading firm? Take your first step in a career with Optiver today. optiver.com/internship opti...
Insight Days Women in Tech & Trading
Переглядів 1,2 тис.6 місяців тому
Insight Days Women in Tech & Trading
Optiver Insight Days 2025 Graduates
Переглядів 2,3 тис.6 місяців тому
Optiver Insight Days 2025 Graduates
#GiTAUCon | Promoting D&I in STEM
Переглядів 2267 місяців тому
#GiTAUCon | Promoting D&I in STEM
Driving innovation for a better future, an Optiver partnership with UNSW Sunswift Racing
Переглядів 3237 місяців тому
Driving innovation for a better future, an Optiver partnership with UNSW Sunswift Racing
Optiver Internship: Where Tech Innovation Meets Trading Expertise
Переглядів 2,2 тис.8 місяців тому
Optiver Internship: Where Tech Innovation Meets Trading Expertise
Optiver and Sharegain on partnering to improve a $3 trillion 'niche'
Переглядів 2,1 тис.11 місяців тому
Optiver and Sharegain on partnering to improve a $3 trillion 'niche'
Chess strategy in Trading | Optiver UK Chess Championship
Переглядів 2,4 тис.11 місяців тому
Chess strategy in Trading | Optiver UK Chess Championship
Inside Optiver's London FX and commodities hub
Переглядів 4,9 тис.11 місяців тому
Inside Optiver's London FX and commodities hub
FutureFocus: An insights program for pre-penultimate students
Переглядів 95811 місяців тому
FutureFocus: An insights program for pre-penultimate students
Meet Cameron, Graduate Performance Researcher
Переглядів 10 тис.11 місяців тому
Meet Cameron, Graduate Performance Researcher
Meet Rens, Graduate Derivatives Trader
Переглядів 3,8 тис.11 місяців тому
Meet Rens, Graduate Derivatives Trader
Meet Shuyi, Graduate Quantitative Analyst
Переглядів 8 тис.11 місяців тому
Meet Shuyi, Graduate Quantitative Analyst
Why start your trading journey at Optiver?
Переглядів 6 тис.Рік тому
Why start your trading journey at Optiver?
Why start your tech career at Optiver?
Переглядів 3 тис.Рік тому
Why start your tech career at Optiver?
Discover a career in trading, research or market risk
Переглядів 1,7 тис.Рік тому
Discover a career in trading, research or market risk
Meet Milan, Index Options Graduate Trader
Переглядів 2,1 тис.Рік тому
Meet Milan, Index Options Graduate Trader
Meet the Optiver team on campus
Переглядів 912Рік тому
Meet the Optiver team on campus
How technology drives Optiver’s trading success
Переглядів 4,6 тис.Рік тому
How technology drives Optiver’s trading success
Behind the scenes of trading at Optiver
Переглядів 14 тис.Рік тому
Behind the scenes of trading at Optiver

КОМЕНТАРІ

  • @ngplittle642
    @ngplittle642 2 дні тому

    what kind of monitor arm they are using?

  • @zerochan9068
    @zerochan9068 4 дні тому

    why no consider the cases that the steps take more than 4 steps, e.g first go to the top left, turn right, turn down, go to the bottom again, turn right and finally meet at bottom right

  • @infinity624
    @infinity624 5 днів тому

    For assymetric random walk using the similar martingale approach we have E(T_0)= (a/p-q)(p^a-q^a/p^a+q^a) = 4/(1/3)* (2^4-1)/(2^4+1)= 12*15/17=180/17

  • @infinity624
    @infinity624 5 днів тому

    Guys this is a very easy problem no need to solve equations or do anything just give me like and pray I get into Optiver. Here is the one liner, instead of the reflection think your friends' house is on -4 and +4 u start from 0. u stop when u reach 4 or -4. u need expected stopping time of a symmetric random walk. That is 4*4= 16

    • @infinity624
      @infinity624 5 днів тому

      for those who aren't aware of this result E(S_n^2-n)=E(S_0^2-0) since that quantity is a martingale where S_n = X1+...+Xk. and E(S_n)=0 from there u get S_n^2 = (4^2+4^2)/2=N.

  • @ArchitStark
    @ArchitStark 5 днів тому

    Where can I find more such sums to practice

  • @janisaiad9505
    @janisaiad9505 6 днів тому

    everyone that manipulated random walks for once should get a good answer, wrong people will use markov chains and absorbing states and it's a big red flag to do so in an interview

    • @peizhengwang
      @peizhengwang 5 днів тому

      Hi. May I ask how to solve this question not using markov chain? The first thing came to my mind is using martingale. But I feel like this is not a martingale because it has an upward trend. Dont know how to solve it. 😢

  • @raihansojib6370
    @raihansojib6370 6 днів тому

    Full scam 😮

  • @vicente3j
    @vicente3j 6 днів тому

    optiver i watched the whole video can i get an internship

  • @itsmePassportBro
    @itsmePassportBro 7 днів тому

    Her English is perfect. No accent at all.

  • @sagnikbiswas3268
    @sagnikbiswas3268 7 днів тому

    for k, it’s (k-1)^2. So it’s 16. Very textbook problem

  • @LuceroULennon
    @LuceroULennon 14 днів тому

    Oh hi guys, Internet Derg here, how can I help you?

  • @vahidnaghshin6455
    @vahidnaghshin6455 16 днів тому

    Very interesting challenge. I have just submitted my solutions :)

  • @TradingInterview
    @TradingInterview 26 днів тому

    Nice video, very well explained!

  • @BlurCell
    @BlurCell Місяць тому

    In the beginning it was said that this was to be constructed with a 4x4 grid; but the solution is portrayed with a 5x5?

    • @antontran5965
      @antontran5965 Місяць тому

      Just in case, the edges of the map have 5 nodes to contain 4 spaces between the nodes.

  • @yatshunlee
    @yatshunlee Місяць тому

    For ex2, I think there is something wrong with 1/n. For instance, when n = 2, P = 0.375 while 1/n = 0.5. P = 0.375 < 0.5 shows that P > 1/n is not true. I think it should be P > 1/(n+1). Please correct me if I'm wrong.

    • @infinity624
      @infinity624 Місяць тому

      its for large n, your prob is 1/root(pi*n)

    • @yatshunlee
      @yatshunlee Місяць тому

      @@infinity624 Yes, that's also my answer for ex1 when n goes to infinity

    • @Exachad
      @Exachad 20 днів тому

      Because the formula is wrong. That is the formula for an n+1 by n+1 grid, not an n by n grid. When you plug in n=4, you get the answer for the original problem, which was a 5 by 5 grid. They need to substitute n with n-1 in the formula and then the answer becomes correct.

  • @georgitsonkov7304
    @georgitsonkov7304 Місяць тому

    Very educational! I hope you keep the series going!

  • @leif1075
    @leif1075 Місяць тому

    How is working in tradong and economics not enitrly BORING and DEPRESSING?

  • @optiverglobal
    @optiverglobal Місяць тому

    It is always great to see keen eyes and sharp mathematical minds at work. Thanks for sharing your observations below. 07:19, the 2 in the denominator in the formula is missing a power; it should be to the power of 8. 08:39, it can be noted that this inequality holds only for n > 3. If you spot additional errors, please continue to let us know in the comments. Remember, you have until the last day of June to submit your solution to us for Exercise 1 and 2. Solutions will be judged on their clarity of exposition and mathematical novelty. We will announce the winner soon after. Good luck!

  • @SyedZahedi
    @SyedZahedi Місяць тому

    More of this please, this is great!

  • @ankitchoudhary7627
    @ankitchoudhary7627 Місяць тому

    Some errors that I find in the video are:- 1. At 8:52 In Ex:2 it is not holding true for n = 2, for n = 2 the probability of meeting is 1/16*(1+4+1) = 3/8 < 1/2, so the proof should be asked for n>= 4. 2. Another Conceptual error that it is mentioned that probability of meeting for odd n is zero, this is not true actually that given formula is valid for all n,

  • @zubinmukerjee4057
    @zubinmukerjee4057 Місяць тому

    I think there are 2 minor errors in the video. At 6:35, n doesn't necessarily have to be even. Consider the case n = 3, it's still possible for the friends to meet. At 7:25, the constant in front of the sum should be 1/256, or 1/2^(2*4), instead of 1/2.

    • @leonmozambique533
      @leonmozambique533 Місяць тому

      I wonder do optiver traders make such silly calculation mistakes when they're trading? It's honestly a worrying and not a great look on the company. Of course mistakes in the heat of the moment happen but when you're making a video like this that effort has been put in to script and animatination I don't know how mistakes are not caught. whoever animating 7:25 wrote out a probability much greater then 1 and no alarm bells went off?? good thing this mistake is on some harmless youtube video and not in some trade that is going to blow up the company's bankroll lol

    • @kbisht3680
      @kbisht3680 Місяць тому

      @@leonmozambique533 you clearly have no clue what you are yapping about. Whilst the video may have errors - I suggest looking at the company's earnings - I think they are doing fine. (To note - if you worked in HFT you would know that the option markets around the world are pretty much dominated by these guys). Hot tip before you comment on youtube - get a clue

    • @Exachad
      @Exachad 20 днів тому

      7:46 The entire formula is wrong here because they say it's the formula for an n by n grid when it's actually the formula for an n+1 by n+1 grid.

  • @myththelegendtyson
    @myththelegendtyson Місяць тому

    I'm not sure you are correct about the 'n must be even' thing. Doesn't really make sense, just try it with 2 and 4.

  • @skilfuldude7312
    @skilfuldude7312 2 місяці тому

    I think there is something wrong with the explanation for the odd case, it shouldn’t be zero. Please check, it can still meet on the diagonals

  • @ShubhamSinghYoutube
    @ShubhamSinghYoutube 2 місяці тому

    Awesome 🙌🏻

  • @johndoolan9732
    @johndoolan9732 2 місяці тому

    Probability is good but in market remove the problem by creating your direction

  • @akshatchaudhary2764
    @akshatchaudhary2764 2 місяці тому

    Amazing!

  • @haashim-ali
    @haashim-ali 2 місяці тому

    7:32 There is a bug here! You forgot the power of 2, it should be (1/2) ^ 8

  • @Sanchman21
    @Sanchman21 2 місяці тому

    When n = 5, if A only goes up and B only goes left, they should meet at the top left corner right?

    • @kamalgautam7261
      @kamalgautam7261 2 місяці тому

      exactly even for odd n that expression holds

    • @631kw
      @631kw 2 місяці тому

      Thought the same. For n = 1, the two can meet at either (1,0) or (0,1). For n = 2, the two can at least meet at either (2,0) or (0,2). So, the two can at least meet at (n,0) or (0,n) for any positive integer n.

    • @kamalgautam7261
      @kamalgautam7261 2 місяці тому

      @@631kw For any positive integer n the two will always meet at one of the points (n-k, k) for 0<=k<=n

  • @bravosierra2010
    @bravosierra2010 4 місяці тому

    What tools do use for testing?

  • @farouktamer9193
    @farouktamer9193 4 місяці тому

    What’s the monitor size ?

  • @AshishPatel-vy7mn
    @AshishPatel-vy7mn 4 місяці тому

    Wish, I had found this earlier. I have been working on FPGA's and ASIC's since I started my career. Since last few years I have been trying to switch career into trading, especially algo trading. It's great to see FPGA at the core of HFT.

  • @alexfloresq9003
    @alexfloresq9003 5 місяців тому

    Here for ES3F1 👽👽👽👽

  • @alex-internetlubber
    @alex-internetlubber 7 місяців тому

    I think the general public might look at this and think it's an incredible feat because it's chess blindfolded. It is an incredible feat, but because it's multiple games simultaneously. That's not easy. Many of us can play individual games blindfolded quite easily, we can visualize it in our minds pretty trivially. Remembering multiple games at once is genuinely hard

  • @badjaeaux
    @badjaeaux 8 місяців тому

    somebody catch this alien

  • @SreeramReddyB
    @SreeramReddyB 10 місяців тому

    Why change the screen so many times in this video? Showing full screen of the games and then suddenly showing Giri & the boards in small. Constantly changing is not good. Fix to one layout.

  • @mirajkarmacharya5097
    @mirajkarmacharya5097 Рік тому

    Proud to see nepali origin

  • @antonnovo695
    @antonnovo695 Рік тому

    You ask how? Repetition They are playing these positions for 8 hours a day at least, for most of their lives.

  • @SkiddingMonster
    @SkiddingMonster Рік тому

    One other application where latency is extremely important is Trigger systems for high-energy collider physics experiments, like LHC in CERN. So hearing you say that standard Xilinx IPs aren't designed for optimal latency hits very close to home

  • @kurtbradd
    @kurtbradd Рік тому

    What size are those Dell monitors?

    • @korst1k
      @korst1k 2 місяці тому

      Looks like 32" vertical (portrait) oriented

  • @treyphillips7762
    @treyphillips7762 Рік тому

    What kind of monitors are you guys using?

  • @ballievlogs5515
    @ballievlogs5515 Рік тому

    More unstable and skewed if you ask me

  • @BB_AgriNeus
    @BB_AgriNeus Рік тому

    Dream company 😢

  • @TheBeatboy77
    @TheBeatboy77 Рік тому

    “I’m a professional chessplayer” bro is literally the #5 of the planet

  • @PaawanS
    @PaawanS Рік тому

    that guy commentating needs to chill

  • @sourabhjawale1929
    @sourabhjawale1929 Рік тому

    Being a hft how does Backend is done, for the trading process, I am very curious to know and work with Optiver.

  • @Chessdrummer83
    @Chessdrummer83 Рік тому

    That was terrible play by board 3, I look them up and they’re 1900+ fide how did they stuff up so bad haha

  • @dosebuss
    @dosebuss Рік тому

    Really annoying with the commentator saying the moves and threats. If i play with magnus carlsen calling out all my weaknesses i will easily beat someone with 200 higher elo

    • @theuseraccountname
      @theuseraccountname 7 місяців тому

      Agreed. He should have been used for a post-game analysis maybe. Definitely not live.

  • @M9a3
    @M9a3 Рік тому

    Great

  • @M9a3
    @M9a3 Рік тому

    nice