howlytic
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Sunday 20 July 2025 23:02:41 GMT
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Gauchj :
What is a quant? And for what job/position/whatever is that a good question? I‘ve never been interviewed as a mathematician, but is still seems like a highly specific field.
2025-07-21 17:58:10
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TiGGowich :
how is that the solution? Not that I understood your explanation, but since all 100 sides are equally likely to be rolled… isn‘t the smallest expected value simply the smallest number on the die?
2025-07-21 10:16:53
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riokaii :
ev of 1 roll is 50.5. then of the remaining 2 rolls, on average one is higher and one is lower. the ev of a number lower than 50.5 is any value 1 to 50.5, all equally likely, so the resulting average ev of the lower roll is 25.5. solved logically without equations
2025-07-22 04:23:04
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elbow ash :
yea ima just stay unemployed
2025-07-23 05:28:29
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sid :
hey just fyi, if you're really trying to teach... visuals need to be on screen longer than 2 seconds
2025-07-21 12:19:40
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Bartosz Kowalski :
how is that the answer? the expected value of the smallest roll is not at all dependent on the probability of the sum of rolls. The smallest possible roll is simply 1 in every roll, and in a sample as small as 3 rolls it is absolutely impossible to determine how big it would be
2025-07-21 10:13:26
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Kendrick Jones :
before I watch the video. at an average of 150. I expect one high number, one low number. one middle so 25 ish.
2025-07-20 23:35:50
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gintoki2421 :
the way i did this was: let Xi (i=1,2,3) be the roll of the dice, distributed uniformly(discrete) between 1 and 100. Then let the random variable M represent the minimum value of the 3 Xi’s. I then worked out the probability that M>=m (1 - the CDF) which was a product of the probabilities that each three rolls are greater than or equal to m. Since the rolls are i.i.d these are all the same and are a sum from m to 100 of 1/100. When you cube this (since each member of the product is identical) you end up with Pr(M>=m) and then using the complementary cdf method for expectation you can just sum this probability from 1 to 100 and you get the answer of 25.5025.
2025-07-29 23:54:38
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Seshat :
I thought the answer was gonna be less complicated than that 💀 I first thought about dividing 100 by 3, so the smallest expected roll would be 33. But that didn’t really make sense to me, so I thought of 3 splits of 100, meaning dividing it by 4, which landed me on 25. Not too bad, but still just luck 😅
2025-07-21 15:58:51
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can can2375 :
is economics reaĺly all just entry level discrete math?
2025-07-21 10:48:20
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Panda :
I don't understand the wording of expected value of the smallest roll. does this mean out of 3 random rolls the lowest value I'd going to be approx 25? or does it mean the combined value of the three rolls?
2025-07-21 21:11:36
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Slunky :
Before watching, I’m going to guess 25.49 based on my intuition
2025-08-01 20:22:28
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Kyuu :
The expected value of any die averages 50, no die roll influences the outcome of any other, so the expected value of all dice are the same. The smallest of these three identical outcomes is still on average 50.
2025-07-21 15:33:30
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michaelmartin2530 :
shouldn't it just be expected value of a dice roll since they are independent events? 50 in the 100 sided case?
2025-07-21 23:43:24
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user55568130274302 :
I'm confused.. the minimum value on a 6-sided dice is 1, no matter how many times you roll it. Do you mean the sum of some number of rolls?
2025-07-21 12:45:07
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christian :
statistics is the only part of math i genuinely hate and will never understand. linear algebra is tough too but at least it makes sense.
2025-07-21 16:34:45
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Jair Garza :
the smallest roll is 1 got on the three rolls so (1/100)^3 or one in a million
2025-07-23 20:22:19
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souhil.sk :
Hey! I'm currently preparing for QT intern roles interviews and Ive just found your content. Love it keep going, it's really helpful
2025-07-21 10:18:11
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Ricky Andreorio :
Smallest value on the dice is 1, the answer is 1. The highest is 100 and expected highest is 100. Math enthusiasts play horribly with language then say "because math." Language matters. Say Smallest statistical probable value rounded or something more logical. (again because only whole numbers on the die, 25.5 is physically impossible)
2025-07-23 06:31:08
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jake :
i was really surprised when the answer was so close to my initial guess of 25 - i was expecting there to be an easy method involving setting up a system of linear equations based on the symmetry between the lowest and highest roll (we'll call these X_L and X_H respectively). i figured out that E(X_L) + E(X_H) = 100 but couldn't obtain a second equation!
2025-07-30 11:47:03
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RustyBard :
The question doesn't exactly make much sense. The smallest value of a roll of these dice would be 1. Each dice roll is also totally independent of the previous roll so you can't use the previous roll to try and determine the next one. The question needs some clarification to not just look like a trick
2025-07-21 17:46:26
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Omar Alleyne :
I guessed 33 as I presumed it would be a 3rd :(
2025-07-21 13:20:48
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Berto Sini :
Is “i would write 3 lines fo python and estimate using monte carlo” a valid answer?
2025-07-23 12:05:02
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chris_flowers05 :
It’s actually 25.17 if you crunch the numbers properly
2025-08-01 17:52:23
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