Coffee Moon - Ch. 28 - Maybe it's because I'm a happy person,

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You know what. sometimes we don't need over the top explanations for powers. They just exist is good enough for this style of storytelling lol.
 
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Page 11, driver's hands are way too small, no?
 
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This chapter is proof that you cannot convincely portray a character smarter than you actually are, and that the author is definitely not the sharpest bulb in the drawer: both of the riddles makes absolutely no sense from the logical point of view, but even if we assume they did, and that the "reasoning" presented is actually correct, the calculations and the final results are still wrong.

First of all, the bank one: in the real world, you deposit some money, and after a fixed amount of time you get your money back, plus the interest (minus taxes). Under this premises, after a single administrative cicle you get your initial investment (300), plus interest (50), totaling 350.
In the Bizzarro universe, instead, banks also pay you interests on the interests you have yet to mature. In this case the total is given by your original investment (300) plus the interest (300*1/6) plus the interest on the interest (300*1/6*1/6) plus the interest on the interest on the interest (300*1/6*1/6*1/6) and so on and so forth ad infinitum; if you collect the initial investment from all the term, you are left with the following summation 1 + 1/6 + (1/6)^2 + (1/6)^3 + (1/6)^4 +...
This is a geometric series, and its value is 6/5: multiplied by 300 you get 360. This is the "correct" answer, assuming the Bizzarro logic. Notice how it wasn't between the available answers.

The moon one is even worse:
neglecting the fact the moon is neither black nor white, but dark grey, it is always half in the light and half in the darkness (except for eclipses, when it's all in the darkness). If you land on the side in the light you can be 100% sure the other side is in the darkness (unless proxima centauri just went supernova, but then you would have a more pressing concern than this dumb riddle).
In the Bizzarro universe, apparently the moon is a giant ping pong ball, painted by magic rabbits: at this point why should we be limited to the three cases presented, and not maybe 1/4 white, 1/4 black, and the hidden half green with magenta pois? How do you justify moon phases, in the case of full white or full black moon? How do you even define a "side" of a sphere?
But fine, let's assume the moon has two distinct faces, that we will call A and B, and these two faces can be either white or black: the three cases presented (full black, full white, half and half) are actually four in disguise: A black B black, A black B white, A white B black, A white B white. Let's land on a random side, and we see it is white: we can discard the two cases where that face was black and we are left with two equally probable cases were the moon is either full white or half/half. The same also applied if we landed on the other face, so in the end the right answer is 1/2. At least this time the correct answer was one of the two available...
 
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This chapter is proof that you cannot convincely portray a character smarter than you actually are, and that the author is definitely not the sharpest bulb in the drawer: both of the riddles makes absolutely no sense from the logical point of view, but even if we assume they did, and that the "reasoning" presented is actually correct, the calculations and the final results are still wrong.

First of all, the bank one: in the real world, you deposit some money, and after a fixed amount of time you get your money back, plus the interest (minus taxes). Under this premises, after a single administrative cicle you get your initial investment (300), plus interest (50), totaling 350.
In the Bizzarro universe, instead, banks also pay you interests on the interests you have yet to mature. In this case the total is given by your original investment (300) plus the interest (300*1/6) plus the interest on the interest (300*1/6*1/6) plus the interest on the interest on the interest (300*1/6*1/6*1/6) and so on and so forth ad infinitum; if you collect the initial investment from all the term, you are left with the following summation 1 + 1/6 + (1/6)^2 + (1/6)^3 + (1/6)^4 +...
This is a geometric series, and its value is 6/5: multiplied by 300 you get 360. This is the "correct" answer, assuming the Bizzarro logic. Notice how it wasn't between the available answers.

The moon one is even worse:
neglecting the fact the moon is neither black nor white, but dark grey, it is always half in the light and half in the darkness (except for eclipses, when it's all in the darkness). If you land on the side in the light you can be 100% sure the other side is in the darkness (unless proxima centauri just went supernova, but then you would have a more pressing concern than this dumb riddle).
In the Bizzarro universe, apparently the moon is a giant ping pong ball, painted by magic rabbits: at this point why should we be limited to the three cases presented, and not maybe 1/4 white, 1/4 black, and the hidden half green with magenta pois? How do you justify moon phases, in the case of full white or full black moon? How do you even define a "side" of a sphere?
But fine, let's assume the moon has two distinct faces, that we will call A and B, and these two faces can be either white or black: the three cases presented (full black, full white, half and half) are actually four in disguise: A black B black, A black B white, A white B black, A white B white. Let's land on a random side, and we see it is white: we can discard the two cases where that face was black and we are left with two equally probable cases were the moon is either full white or half/half. The same also applied if we landed on the other face, so in the end the right answer is 1/2. At least this time the correct answer was one of the two available...
Mate, they are just math problems using real world stuff as ideas, having pure math problems is boring.
Ya wanna also consider inflation? What would happen if an economic crisis happened? Or if, after getting the money, you trip and drop them down an open drain?

Same thing for the moon thing, but also they did not made the moon green cause that was not part of the problem, if they wanted and was needed then making the moon green would've made sense, even if unrealistic in the real world.

Last thing is you're correct with the moon answer being 1/2 instead of 2/3: question basically asks chances of you being on a full white moon, so, since there are only 3 phases (black&white and white&black are the same since initial position is random), and it's clear you're not on the full black moon, then you only have 2 choices between full white and half&half => 1/2 chances.
Another way to see that is using the 4 phases like you said and not considering b&w and w&b the same, and after discarding the full black moon, we can say there's 2/4 chances for it being a full white moon (we could be on the back of the full moon, front of the full moon, back of the black&white moom, front of the white&black moon), still resulting in 1/2.
Guess author got confused with the problem, where you can, somehow, reach the white side of the half&half moon, since if so, then it would've been 2/3.
 
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Mate, they are just math problems using real world stuff as ideas, having pure math problems is boring.
Ya wanna also consider inflation? What would happen if an economic crisis happened? Or if, after getting the money, you trip and drop them down an open drain?

Same thing for the moon thing, but also they did not made the moon green cause that was not part of the problem, if they wanted and was needed then making the moon green would've made sense, even if unrealistic in the real world.

Last thing is you're correct with the moon answer being 1/2 instead of 2/3: question basically asks chances of you being on a full white moon, so, since there are only 3 phases (black&white and white&black are the same since initial position is random), and it's clear you're not on the full black moon, then you only have 2 choices between full white and half&half => 1/2 chances.
Another way to see that is using the 4 phases like you said and not considering b&w and w&b the same, and after discarding the full black moon, we can say there's 2/4 chances for it being a full white moon (we could be on the back of the full moon, front of the full moon, back of the black&white moom, front of the white&black moon), still resulting in 1/2.
Guess author got confused with the problem, where you can, somehow, reach the white side of the half&half moon, since if so, then it would've been 2/3.
It seems you are missing my points:
1) the "solving method" proposed cannot be logically derived from the text of the riddle.
2) even if we assume the "solving method" proposed is good and sound (which is not), the numerical answer they derived from that method is incorrect due to very basic math mistakes
 
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The moon one is badly worded (for which I blame the author, I did my best with what I had:ROFLMAO:), but there's a simpler version that maybe makes it more intuitive.

You have a bag that contains two coins. The first has heads on one side and tails on the other. The second has heads on both sides.

You blindly pull out a coin at random and lay it on the table - it shows a head on the side facing up. What is the probability that the side of that coin facing down is also a head?

It's not about the probability of pulling the double head coin, although it seems like it should be.

Chiaro's explanation works, but another way to think of it is to ignore that you can see a head and just think of all the states you could have.
A = Double head coin, first side up
B = Double head coin, second side up
C = Heads/tails coin, heads up
D = Heads/tails coin, tails up

Of these, A, B and D have a head on the bottom, so if the question was purely "what's the chance that the coin has a head on the side facing down" then the answer would be 3/4. But we can see a head, so we know that D is not an option.

Left with only A, B and C, we have three states and two of them (A and B) have a head on the side facing down. That's how you get 2/3.
 
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This chapter is proof that you cannot convincely portray a character smarter than you actually are, and that the author is definitely not the sharpest bulb in the drawer: both of the riddles makes absolutely no sense from the logical point of view, but even if we assume they did, and that the "reasoning" presented is actually correct, the calculations and the final results are still wrong.

First of all, the bank one: in the real world, you deposit some money, and after a fixed amount of time you get your money back, plus the interest (minus taxes). Under this premises, after a single administrative cicle you get your initial investment (300), plus interest (50), totaling 350.
In the Bizzarro universe, instead, banks also pay you interests on the interests you have yet to mature. In this case the total is given by your original investment (300) plus the interest (300*1/6) plus the interest on the interest (300*1/6*1/6) plus the interest on the interest on the interest (300*1/6*1/6*1/6) and so on and so forth ad infinitum; if you collect the initial investment from all the term, you are left with the following summation 1 + 1/6 + (1/6)^2 + (1/6)^3 + (1/6)^4 +...
This is a geometric series, and its value is 6/5: multiplied by 300 you get 360. This is the "correct" answer, assuming the Bizzarro logic. Notice how it wasn't between the available answers.

The moon one is even worse:
neglecting the fact the moon is neither black nor white, but dark grey, it is always half in the light and half in the darkness (except for eclipses, when it's all in the darkness). If you land on the side in the light you can be 100% sure the other side is in the darkness (unless proxima centauri just went supernova, but then you would have a more pressing concern than this dumb riddle).
In the Bizzarro universe, apparently the moon is a giant ping pong ball, painted by magic rabbits: at this point why should we be limited to the three cases presented, and not maybe 1/4 white, 1/4 black, and the hidden half green with magenta pois? How do you justify moon phases, in the case of full white or full black moon? How do you even define a "side" of a sphere?
But fine, let's assume the moon has two distinct faces, that we will call A and B, and these two faces can be either white or black: the three cases presented (full black, full white, half and half) are actually four in disguise: A black B black, A black B white, A white B black, A white B white. Let's land on a random side, and we see it is white: we can discard the two cases where that face was black and we are left with two equally probable cases were the moon is either full white or half/half. The same also applied if we landed on the other face, so in the end the right answer is 1/2. At least this time the correct answer was one of the two available...
It's 359 because it rounds down. I'm guessing there's no lower denomination than 1 gold coin, so anything after 1/6^3 is just conisdered 0 (300*1/6^4 = 0.23 ≈ 0), rather than summing them all up then rounding. It's true that interest doesn't actually work like that (each interest cycle wouldn't add interest on the interest, it would add interest on top of the total, so it wouldn't be a geometric series) , but it is what it is.

Anyway this is all basic middle school math, and given that incorrectly portraying compound interest as a geometric series is such a wild mistake, I think the author was just trying to intentionally make a geometric series problem without outright saying it. Maybe they saw a nephew's math workbook or something and just wrote it in on a whim.

Also, the problem can be interpreted as the bank giving interest immediately after a deposit based on the deposit only (and the interest is given to you up front rather than deposited). So if you think about it from that perspective, then the point would be that with each deposit you earn interest (and thus would explain why it's not actually compounding on the total amount you have, including the principle and previous interest, but rather only the latest interest itself), and with each interest you have to deposit it again. Thus, the question wouldn't involve having the bank give you interest for unrealized interest, but would rather be a future hypothetical "if you were to continuously gain interest from your deposits and deposit that interest, how much would you have in total?" Obviously this isn't how compound interest (real-world interest) works, but as I said before, it is what it is.

Besides, there are plenty of aspects of this manga that don't follow conventional societal norms, why would you assume interest and banking does as well?
 
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