@3blue1brown: Solution to the ladybug clock puzzle

Grant Sanderson
Grant Sanderson
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Region: US
Monday 16 February 2026 14:09:51 GMT
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peton_10
peton_10 :
what if the clock is on fire. invalidated results
2026-02-17 05:46:29
1741
jo.milot
Jo.Milot :
That’s mind blowing not gonna lie
2026-02-16 14:20:24
1480
leobakaitis
l :
What if the lady bug doesn’t like the number 6? How would this affect the results. Also consider the ladybug can’t ready and doesn’t understand clocks and therefore can never know where or if there is a six
2026-02-16 16:12:50
199
bridgeon5
Bridgeon :
gem alert
2026-02-16 15:23:23
364
effettivamentekrn
ale :
this is just a markov chain modeled with a bistochastic matrix hence giving a uniform limit probability right?
2026-02-17 09:02:44
81
dakshadakshadaksha
Daksha :
Another great example of how exploiting symmetry allows for clever solutions
2026-02-17 02:28:27
101
poetryineverymoments
PoetryInEveryMoments :
What if ladybug just oscillates between two numbers say 3 and 4? what will be the probability of that? So The proper question will be somewhat like this: What is the probability of the ladybug oscillating between 'n' and 'n+1 '?
2026-02-17 00:13:15
16
juanitomint
juanitomint :
and here is my temu version
2026-02-17 03:48:23
42
sublimesuprema09
suprema09 :
i dont know about 1 or 11, becuase they have 50% of being choosed at the start
2026-02-17 12:28:02
8
clr4785
clr4785 🏳️‍⚧️ :
random walk on a cyclic group cayley graph
2026-02-17 17:15:21
7
sidsontiktok
samsamsamsam :
Grant this page has done wonders for my brain. I still watch it every week. Always well produced
2026-02-16 14:32:21
125
fraanjuldan
Fraanjuldan :
50% it either is or isnt
2026-02-18 02:30:39
5
fluffywub
Fluffy :
this intuitively feels like doing some sort of probability factorial
2026-02-17 04:22:09
4
dz3wa
Maren :
I thought 1/11 was the intuitive answer but had no way to prove it. It felt clear that if the moves are truly random each number has an equal chance...
2026-02-18 13:56:07
15
willhayscience
Will Hay Science :
I think the original problem video showed it going down to the left then going all the way back past 12 to get to 6. That was a well laid hint
2026-02-16 19:05:35
37
grafs42
Grafs :
nah but bc of gravity it goes to 6
2026-02-19 12:17:59
2
adrillywtbw
Adrilly :
took the words right outta my mouth
2026-02-18 17:25:29
2
juanitomint
juanitomint :
... and i had to make a python program with the animations and all to get the answer😂
2026-02-17 03:35:54
3
flyingtartpop
flyingtartpop :
I think anyone that finds it counter intuitive did so because they expected a finite and small number of steps to the simulation. Graphing the probability as a function of number of steps would be interesting
2026-02-16 15:51:21
7
theonlybbrad
theonlybbrad :
The key point that makes them all equally likely to be the ending spot is that there was no specifies number of steps at before the experiment started. Just that they all had to colored. This ensured they was plenty of steps to ensure it was virtually random
2026-02-16 18:31:23
5
rabalan0
rabalan :
1/11 , as n increases
2026-02-17 22:59:09
2
dougalugg
Dougalugg :
that’s what i said!! (i think, it was weeks ago)
2026-02-21 05:45:53
1
sourc930
Sour-C :
My aha moment was realizing that in EVERY case the final number was just one away from being landed on and then the lady bug went completely around the clock to the other side of it.
2026-03-06 06:41:37
1
coolranchluke
Cool Ranch Luke :
Called it.
2026-02-17 11:02:35
1
yethanc
ethan :
What’s the probability that she ends on 12
2026-02-17 03:53:19
3
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