Can you solve the basketball robot riddle? - Dan Katz

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Published 2024-06-13
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You’ve spent months creating a basketball-playing robot, the Dunk-O-Matic, and you’re excited to demonstrate its capabilities. Until you read an advertisement: “See the Dunk-O-Matic face human players and automatically adjust its skill to create a fair game for every opponent!” That’s not what you were told to create. Can you recalibrate your robot to make it a fair match? Dan Katz shows how.

Lesson by Dan Katz, directed by Igor Ćorić, Artrake Studio.

This video made possible in collaboration with Brilliant
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Animator's website: www.artrake.com/
Music: www.workplaywork.com/
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All Comments (21)
  • “Skimmed an article about AI and overpromised” - every tech company in the 2020s
  • @Paul-A01
    You should set it to 100% and if anyone complains, explain they don't understand probability
  • @pebrrr
    I'd stop whatever I'm doing for TED-Ed riddles.
  • @MetronaJ
    I like how this ends with the character getting a better job
  • @horizontal
    Cool robot and puzzle but I’m more interested in the puzzle of how she managed to find a better work place and navigate all that legal trouble.
  • @Square_Peg
    This isn't a riddle, this is a math problem
  • @drybowser456
    If I would get a dollar for each time I see brilliant sponsoring a video, I would afford that basketball robot
  • @perezah7852
    I like that the robots are called Dunk-o-Matic's
  • I was literally doing my math homework, finished and wanted to take a break with a riddle. I see this and think “I JUST DID THIS!”
  • @rivo8774
    I realized the answer was going to involve some series shenanigans and didn't want to bother with that, so i looked at it differently: I made it so that the robot has a 50% chance of scoring on their first shot, and you set q to be 0 after. This garuntees that the player will score eventually, and so the total proability of winning is just based on the first throw of the robot and player. The probability of the robot winning on their first shot is (1-p) * q, and so if we set that probability to 0.5, we get q = 0.5 / (1 - p). And so you set the initial q to be this for the robot, and if it misses, set q to 0, garunteeing the player wins 50% of the time.
  • @Revanaught
    This felt more like a complicated math problem than a riddle...
  • @rahulrg1000
    You know the riddle was tough when you can't even understand the answer after it has been explained.
  • @SanketAlekar
    For probability p > 0.5, you can change the game and have the robot go first, with probability q where q/1-q = p . So q = p/1+p which will have a solution for all p.
  • @superkiller5002
    I literally just completed an algebra II course with the unit of probability in it and then I watch this video on the same day and nailed it in the head. They were right when they said we'd use those skills in real life.
  • @Skully935
    If there’s one video I NEVER skip from Ted-Ed, it’s the riddle videos, they are always just so interesting and I always have the riddles playlist on in the background when I’m doing other things. Even tho I could never solve the riddles, I’m always so fascinated by the solution. Ted-Ed riddle videos are at the very top of S-Tier videos to watch for me, I do wish they’d upload riddle videos more frequently tho, but as long as Ted-Ed keeps posting riddle videos I can handle long gaps between those videos 😎