When BoxBox was talking about converging series, it reminded me of when I watch currently ongoing youtube livestreams at a previous point in time at 2x playback speed. I found out that if you're 15 minutes behind the live broadcast, it'll take half that(7.5 min) to reach live, but by the time you get to that point, the live broadcast is 7.5 minutes ahead. And if you watch at 2x speed, it'll take you half that amount of time(3.75 minutes to get to the live broadcast, but by that point it'll be 3.75 minutes ahead of you. It took me a while to realize that all the halves ended up totaling to the amount that you were originally behind the broadcast in the first place, which would be 15 minutes in this case.
@stuurhuis69
2 жыл бұрын
I don't think you would ever catch up. Every time you watch for the amount of time you are behind, the stream is again half of that time ahead of you. No matter how long you watch on 2x speed you will always be half behind. Edit: of course you'll catch up in a finite amount of time... I was just making a joke about Zeno's Paradox
@WanderTheNomad
2 жыл бұрын
@@stuurhuis69 that's not how the math checks out though, or the reality of it either. If I'm 15 minutes behind the live broadcast of a stream and I'm watching it on 2x speed, I end up catching up to the live broadcast in 15 minutes(assuming no buffering or whatever). I'm also really rusty on the beginning of calculus, but I'm pretty sure the sum of those infinite number of halves that keep getting exponentially smaller also ends up being a finite number, 15 (minutes).
@Roach2137
2 жыл бұрын
Are you guys serious? This is what america and twitter does to a brain.
@jasper6471
2 жыл бұрын
what? that's like saying a car going 2x faster can never overtake a car going at normal (1x) speed
@WanderTheNomad
2 жыл бұрын
Geez, at least read the whole comment before responding guys. Did all 3 of you miss the last paragraph?
@-ttark
2 жыл бұрын
I actually got my first Mr. 100 game playing Astrals in the new patch, it's really fun
@kevinvelez6163
2 жыл бұрын
I'm pretty sure Zoe has a thing for BoxBox at this point.
@davygaming1937
2 жыл бұрын
HUH
@rokkuchachacha4459
2 жыл бұрын
HUH
@danyllooo
2 жыл бұрын
FLUSH
@Riverenjoyer
2 жыл бұрын
HUH
@roxanne67
2 жыл бұрын
HUH
@user-gl3jn9cp1b
2 жыл бұрын
Another way to think of the math: x = how many "rolls" you get = 1+0.5(1+0.5(1+0.5(1+...))) repeating forever. You'll notice it becomes x=1+0.5(x), which solves to x=2. So BoxBox is right, it doubles your rolls on average.
@blazingVblaze
2 жыл бұрын
This is very unintuitive. How do you explain the step between 1+.5(1+.5…. To x=1+0.5x? How does the x come in on the right hand side if you say it repeats forever?
@jboatmcnasty607
2 жыл бұрын
Or an even easier way… it gives you 50% chance to get free refresh, which means every other… thus making it 2x effective
@user-gl3jn9cp1b
2 жыл бұрын
@@jboatmcnasty607 Nah that doesn't account for rerolls off of rerolls. My way is pretty much how you solve converging series, without using a formula covering the converging factor (n/(1-a) also works, where n is the first term and a is the factor --> 1/(1-0.5) = 2) Don't think your math even comes out to 2x effective: if you got a 50% chance of a free refresh, and didn't account for free rerolls off of free rerolls, that would be 50% chance to get 1 roll and 50% chance to get 2 rolls; average would be 1.5 rolls.
@user-gl3jn9cp1b
2 жыл бұрын
@@jboatmcnasty607 Let's say it worked 1/3 of the time, which means every third time. Would that give you 3x the effectiveness? Not really. If you create a similar equation to above, you'd get x = 1+ (1/3)(x), solving to x=3/2, meaning it multiplies your rolls by 1.5 on average. Really the "effectiveness factor" is 1/(1-a) where a is your chance of free reroll
@snoidoesgames4519
2 жыл бұрын
The easier math for the early explanation of reroll value is to just model it as "Each shop refresh has a 50% chance of costing 2 gold, and a 50% chance of costing 0 gold, so the average cost is 1 gold, meaning that you get twice as much reroll value for your gold"
@bluerum896
2 жыл бұрын
that seems incorrect
@chillykiwi2713
2 жыл бұрын
It's correct though
@pyroclastixx6969
2 жыл бұрын
It’s actually closer to .5 gold spent per roll because it would be a 50% chance to get a reroll for free then a 50% for that reroll to also be a free reroll and 50% chance for the following reroll to also be a free reroll. By the end of the game you should have spent less gold on rerolling than the value of what you were to actually have spent. Every game I’ve gotten golden ticket I have won 1st this patch. It’s such an insane augment.
@blazingVblaze
2 жыл бұрын
@@pyroclastixx6969 No it does not make sense that you actually make more by rolling, since the math doesn’t support that, BoxBox is right in that regard, that it’s a 100% increase in the gold you get from that augment when rolling. While you’re right that the reward could potentially continue for forever, the diminishing probability accounts for that. To see this, try marking the 1/2 line of a ruler, then 3/4, then 7/8, and so on. You’ll see that while you’ll always get closer and closer to 1, you’ll never actually reach it. This is what the continuous 50% probability does, it’s 1/2 + 1/4 + 1/8 + … which gives you 1/2, then 3/4, then 7/8, and so on. This basically makes (2^n - 1)/2^n where n is the number of times this repeats. As n approaches infinity, the -1 in the numerator becomes negligible since it’s so small in comparison and you get 2^n/2^n = 1
@pyroclastixx6969
2 жыл бұрын
I completely forgot that’s what I was going off of LMAO
@BoxBox
2 жыл бұрын
Day 54 of asking for boxboxbox subs. At 50k subs on boxboxbox, I will reveal the TFT app I'm using for win percentages. BoxBox talks Upcoming Merch, Vegas, and PBE TFT kzitem.info/news/bejne/0KFp1mGCiZGlq2k
@AlexPushkinChannel
2 жыл бұрын
hey man whats up with the random sexist rants in the middle of these games. noticed a few times you'll comedically get annoyed at a unit, and that's fun, but why is it always a female unit and why do you always repeatedly call them a bitch. and why is the only alternative to sexualise/ogle them. idk just a pattern i've noticed and like. could u not.
@ngderenfm3773
2 жыл бұрын
That late night special was definitely something special😏
@dailytroll3884
2 жыл бұрын
Statistically speaking, if you are rerolling at least once every round regardless of the shop being free or not, reroll costs 1 Gold. You can be very lucky and also very unlucky since the control group is limited and reset every game, in which you take golden ticket. Which means you need to JUST HIT :)
@VSLinx
2 жыл бұрын
remember me getting 5 free rerolls in a row when i played with that augment, never felt so satisfied in tft before
@xKraii
2 жыл бұрын
6 star hecarim caught me off guard 😂
@erin1569
2 жыл бұрын
It's sum 1/(2^n) = a/(1 - r) = 0.5/(1 - 0.5) = 1 a is supposed to be the first term (1/2) and r in this case is the simple ratio between two consecutive terms (1/2)
@theprofessor2972
2 жыл бұрын
Im glad boxbox goes out of his way to make this a tuber just for that fuckin story omegalol
@MysticConflux
2 жыл бұрын
That voice line for lux at 2:18. Lmao
@SarahET
2 жыл бұрын
Zoe 3... AGAIN!??! Editors are tired at this point
@jamesmontgomery3818
2 жыл бұрын
I think a way to explain the value of golden ticket that more people would understand would be just breaking down the average outcome. assuming 50 gold worth of rerolls for 25 rerolls. 50% of the rolls will be free, profiting 25 gold. The odds of getting 2 in a row is 25% 25% of 50 is 12.5 gold. The odds of getting 3 in a row is 12.5% worth 6.75 gold. The odds of getting 4 in a row is 6.75% worth is 3.375 gold. We'll stop there, since that's roughly close to 4%, and on average you'll hit a 4% once every 25 rolls. That's a total of roughly 46 gold value after rounding down some of the results. Now if you account for better then average rng, you'll reach the 50 gold+ breakpoint.
@D1ablo23
2 жыл бұрын
8:37 when he said Boom science bitch, he sounded like Jesse from Braking Bad
@asdfasdfasdfasdfasdf739
2 жыл бұрын
8:00 - 8:36 80% math 20% tft
@geniegerny
Жыл бұрын
Math checks out 2g*(1+1/2+1/4...)=4g. In reality you ll never have infinite rolls though, so you can expect a little less than that.
@laithkh5318
2 жыл бұрын
i feel math is not correct You have 50% to get free reroll and 50% to not get anything if u reroll 100 gold which worth 50 reroll you r not guaranteed to get 50 back you may reroll multiple time without getting single free reroll or u can reroll and get multiple free reroll and the free reroll may lead to another free reroll, the chance is not constant and if the reroll are independent like getting a free reroll will not increase the chance or lower the chance of next reroll to be free, this will leads that ever reroll stands from the other like the will not create a series that converge to double the amount because u can be sure if the next one will be free or not so i think the percent is always changing and you cant know what was the value of the free ticket until u finish the game, but in general it will be around the 50% sometime above it and sometime under it ! but taking into calculation that boxbox said even the shop refresh has also 50% to be free this increase the benefits of the golden ticket
@joeltimonen8268
2 жыл бұрын
The math was correct. Yes, you're not guaranteed to get 50% of your rerolls for free. But on average you'll indeed get 50% for free; this is called the expected value. If you're trying to evaluate how much value you'd be getting from that augment, the expected value is your best guess. And statistically the more you roll, the closer the percentage of free rerolls gets to 50%.
@laithkh5318
2 жыл бұрын
@@joeltimonen8268 yeah on average u will that because the end of round shop refresh also have the chance to get free which will not cost anything will then be increasing the value of previous rerolls that didnt get free reroll after that and what box box said it was double the value not 1.5, which any of them cant be true unless u finished the game and redone the calculations on how much it was worth and then u can assume a generalization of that on the other tickets will have a value similar to it but the only thing will stand of this augment that the value of this augment always changing depending on your luck with the rerolls !
@boffen000
2 жыл бұрын
late night specail, is actually called aktiv planke
@Arkhal_
2 жыл бұрын
gotta say, i've got this augment once and I'm pretty sure I got like 8 gold per roll, and watching this video, BoxBox seemed to have 0 gold per roll, since even his round rolls didn't gave him any astral champions, so i guess his math was okay, i just got all the gold instead of him
@damianskiba4876
2 жыл бұрын
Oh wow, yet another Zoe 3 game, how exciting
@akisa452
Жыл бұрын
bro the math isnt hard, it means u get 50% chance to get a free reroll so that means that every roll on avarage is twice as effective
@Rin-ix9dl
2 жыл бұрын
they nerfed astrals in live patch, still playable but the orbs kinda sucks
@boni3724
2 жыл бұрын
can we still use meta tft? or is it bannable now
@im_hawkward
2 жыл бұрын
As someone who has gotten 99 prayer solely through the wilderness altar (on 4 accounts help me) in the hit children's medieval clicking game, Oldschool Runescape, you're math on golden ticket does indeed check out Mr BoxBox! The percentage is technically an asymptote so it will never actually hit 100% it just forever gets closer. If you hit the free reroll, that shop can also hit the free reroll, stretching your gold value farther and farther until you fail to hit the reroll. You still only pay 2 gold for every chain of free rerolls.
@f4val159
2 жыл бұрын
Hey Mr. Editor next 3 star could you let them T pose across the screen? Thanks ahead of time
@kuzu958
2 жыл бұрын
When he pulls up the math and I know we everything 😭😭😭
@phun.d4385
2 жыл бұрын
these bot are evolving, from spam reply in the comment section now they get into timed comments too
@tomasswaier2877
2 жыл бұрын
yee , with the math about 50% . Imagine that you have healthbar that you have empty healthbarand you can heal 50% of its missing hp , after like 5 heals its gonna be almost full but never quiet there so thats basically like the chance of doubleing your money. After like 100 heals the amount youre healing is like 1/10000000000 so its basically double (most acurate representation i can think of)
@thekash99
2 жыл бұрын
chat doubting an asian in math, haven't seen that in a while
@secondcomingoftenz
2 жыл бұрын
boxbox try dragonmancer emblem ao shin with rageblade & shojins deletes everything on board
@Thebestplacetobe619
Жыл бұрын
Box box lemme get that late night special😏
@Bansen808
2 жыл бұрын
Is it just me or is Boxbox training showing results? Looking more and more buff.
@EpicMind500
2 жыл бұрын
He passed up like 3 asols
@ngderenfm3773
2 жыл бұрын
Who agrees that golden ticket should be in a math question jkjk
@MoreMonarchy
2 жыл бұрын
Pretty sure that’s a geometric series right?
@MoreMonarchy
2 жыл бұрын
1/2+1/4+…+1/2^inf ~ 1
@sheyshi1035
2 жыл бұрын
I wish there was a counter to show the number of free gold to prove the math LOL
@luk4aaaa
2 жыл бұрын
Asol is 100% sexier than Seraphine, also unlike sera he actually has a personality and a wonderful one at that.
@CounttlessYT
2 жыл бұрын
Im not sure if this has be debunked, but the very first carousel is predictable on what Items you'll receive during minion rounds. Everytime I grab Sett with Rod from the first carousel I ALWAYS get a bow. Every single time.
@FINsoininen
2 жыл бұрын
The reroll math would be 100-(1/inf) it is as close to 100% as it could be but it never quite gets there.
@joeltimonen8268
2 жыл бұрын
Yup, that's true because there can't be infinite rerolls to reach the full 100% extra value. Though "100-(1/inf)" would actually equal* 100. ;) *Obviously depends on how you'd define division with infinity, though the two most usual ways (r/inf:=0 for all real numbers r; and defining infinity as a limit) would indeed give the result above.
@FINsoininen
2 жыл бұрын
@@joeltimonen8268 well yes, there actually can be an infinite amount of rerolls. And no 100-(1/inf) will never equal 100, it just goes towards 100 with an infinitesimal subtrahend.
@mohamedgamal2459
2 жыл бұрын
Thanks bro..
@kk_oniichan
2 жыл бұрын
ur better than my 12th grade math teacher
@AzMagma
2 жыл бұрын
13:06 3 rolls in a row, guess complaining does work
@RawStyleAddict
2 жыл бұрын
Day 3: asking boxbox not to play riven in league of legends wild rift
@mumblinmumble
2 жыл бұрын
Dammit boxbox, not another zoe 3
@penguwingu2058
2 жыл бұрын
The math is mathing
@vojaurosevic5176
2 жыл бұрын
I just got a stroke seeing him do basic math ...
@hazel5933
2 жыл бұрын
ANOTHER Zoe 3 bedge
@Feyolen
2 жыл бұрын
so the math he ended up with on golden ticket, is half your rolls are free... edit- ahh ok i see he was clearing up the gold point nevermind
@t4ldair
2 жыл бұрын
I'm no tft expert, but isn't trade sector a better version of the first augment?
@chillykiwi2713
2 жыл бұрын
Depends on the amount of rolls you do. Trade sector gives you one guaranteed free roll at the start of each round. So if you play 40 rounds, you'll get 40 free rolls. With golden ticket, if you roll 80 times, about 40 of those rolls will be free. So the more you roll, the better golden ticket is compared to trade sector.
@dormmihawk5071
2 жыл бұрын
Pog I WAS HERE Pog Mom I made it into BoxBox tuber
@kk_oniichan
2 жыл бұрын
really albert? another zoe 3?
@Loepul
2 жыл бұрын
Zoe again.
@alphabug9
2 жыл бұрын
Boxbox, your calculation of golden ticket isn’t exactly correct. It’s correct on paper (that it doubles your gold effectiveness), but the value is much more than that in gameplay (and calculating amount of interest saved). The series calculation is correct for one roll down. So for example, rolling at 50 gold all the way down to 0 with golden ticket is on average like rolling with 100 gold without golden ticket. However, in gameplay, you don’t just do one final roll down in the end. You do multiple “roll until I hit” type of thing throughout the game. With golden ticket, you are more likely to save the interest that you would have lost if you haven’t had golden ticket, and this would accumulate non-linearly during the turns where you don’t roll mid game.
@jorgezequera6400
2 жыл бұрын
Sorry box box. My wife doesn't like the sound of your voice so I can only watch you mute and miss out on your angelic voice
@z1zuc
2 жыл бұрын
It`s called hindu pushups.
@ParzivaITV
2 жыл бұрын
parents crying in asian
@montage3150
2 жыл бұрын
Day 11 of commenting Pog
@kawithug322
2 жыл бұрын
Stop math make brain brain
@mouse8302
2 жыл бұрын
I have a degree in Mathematics and I can confirm that Boxbox is talking shit 😂😂😂
@duke6212
2 жыл бұрын
boxbox hit zoe 3 for the 9723472342..... times xd
@boxBob313
2 жыл бұрын
Day 448 : asking boxbox to play riven in league of legends wild rift
Пікірлер: 97