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ChatGPT's GPT-4 is notably better at Japanese-to-English translation than Bing Chat's Precise mode (with GPT-3.5 included for reference)
 === Prompt ===
 Please translate this text from Japanese to English: >> 08^ (1)の解答をきちんと解説するにはある程度準備が要りますので. >> ここでは詳しく扱いません（あとできちんと扱います）が.いまは ともかくも勘で答えてみてください.（2)のほうは，（まずは勘で 考えるにしても）勘だけでなく.きちんと計算根拠も示してみて ください. >> ，， ....... >> (1) この問いの矜えは.約2.16個です.笟くほど少なくあり ませんか.もとから少なかった白が残る場合（その確率は 相対的に小さいはず）は残り数が少ないにしても，黒が残 るとしたら.敁初に200個も差があったのだから残り数は もっとずっと多くなりそうな気がする人は多いでしょう. どうしてこれほど少ないのでしょう.また.どうしたらき >> ちんと計銶できるのでしょう.実はとても簡垠に計灯でき る方法があります.その計灯方法は98ページの解答をご 览ください. >> (2) 即荇せよといわれたら.与えられた数侦から単純な割介 を出して >> 600：00ニト。4 >> が答えだ，と户想する人は多いかもしれません.かたや. そんな簡革な話ではないと思う人も多いでしょうが，実を いうと，答えとしてはそれで合っています.しかし，どう >> 第1章@誰だって確率は苦手>> すればその計灯根拠を示せるでしようか. >> この問題を解くときに.もし時問の順序どおりに解こう とすると突は大変な級数計ね:が必要になります.ですが, ちょっとした発想の転換でごく簡中.に求めることができま す. >> 嵌からボールをとり出すとき.一方の色がなくなった時 点でボールをとり出すのをやめる必要はありません.敁後 までとり出していって.敁後のボールの色で判定しても同 じことです.したがって.求める確中は.敁後のボールが 白である確率です. >> また.無作為に鉍後までボールをとり出すのは.黒600 個と臼400個の合計1000個のボールを無作為に一列に並 >> ベることと変わりません.無作為に一列に並べた場合，列 の前から见ても後から見ても確率的な性質は変わりませ ん.つまり.敁後のボールが由である確中は.敁初のボー ルが白である確率と同じです. >> 以初にある1000個のうちの400個が1'丨ですから.敁初 のボールが白である確率は. >> ―400…丄04 >> 600 + 400 5 # >> であり，これが答えです.
 === ChatGPT GPT-4 mode ===
 To explain the answer to question (1) properly, a certain amount of preparation is needed, so I will not go into detail here (I will cover it properly later). For now, please try to answer it intuitively. For question (2), even if you first think intuitively, try to show not only intuition but also a proper calculation basis.
 (1) The answer to this question is about 2.16. It's not that few, is it? Many people might think that even if there were few remaining whites from the beginning (the probability of which should be relatively small), the remaining number would be much larger if the blacks remained because there was a difference of 200 at the beginning. Why is it so small? And how can we calculate it properly? In fact, there is a very simple way to calculate it. Please refer to the answer on page 98 for the calculation method.
 (2) If asked to answer immediately, many people might think that the answer is the simple ratio obtained from the given numbers:
 600:400 = 3:2.
 Some people may think that it's not such a simple story, but in fact, that is the correct answer. However, how can we demonstrate the calculation basis?
 To solve this problem, if you try to solve it in the order of the questions, a complicated series calculation will be required. However, with a slight change of perspective, it can be calculated very simply.
 When taking balls out of the box, you don't need to stop when one color is gone. It's the same thing if you continue taking balls until the end and judge by the color of the last ball. Therefore, the probability we are looking for is the probability that the last ball is white.
 Also, taking balls out randomly until the end is equivalent to lining up a total of 1,000 balls, 600 black and 400 white, in a row at random. When lined up randomly in a row, the probabilistic properties do not change whether you look from the front or the back. In other words, the probability that the last ball is white is the same as the probability that the first ball is white.
 Since 400 out of the initial 1,000 balls are white, the probability that the first ball is white is:
 400 / (600 + 400) = 2/5
 And this is the answer.
 === ChatGPT GPT-3.5 mode ===
 To explain the answer for (1) properly, some preparation is necessary. We won't go into it in detail here (we'll do that later), but for now, please try answering with your intuition. For (2), please show not only your intuition but also the calculation basis (even if you start with intuition). >> ...... >> (1) The expected number for this problem is about 2.16. Isn't it too small? Even if white was initially a small number (its probability should be relatively small), if black is left and the remaining number is small, many people might think that the remaining number would be much larger since there was a difference of 200 at first. Why is it so small? Also, how can we calculate it accurately? Actually, there is a very simple method to calculate it. Please refer to the answer on page 98. >> (2) If asked to answer immediately, some might think the answer is 600:400. Some may think it's not that simple, but the answer is actually correct. However, how can we show the calculation basis? When solving this problem, if you try to solve it in the order of the question, a difficult series calculation is necessary. However, with a little change of thinking, it can be easily calculated. >> When taking out a ball from the urn, there is no need to stop taking out the ball when one of the colors is gone. Judging by the color of the ball at the end is the same as judging by the color of the ball at any time before the end. Therefore, the probability we are looking for is the probability that the ball at the end is white. >> Also, taking out the balls randomly until the end is the same as lining up 600 black and 400 white balls randomly in a row. The probability property is the same whether you look at the row from the front or from the back. In other words, the probability that the ball at the end is white is the same as the probability that the first ball is white. >> Since there are 400 whites out of the 1,000, the probability that the first ball is white is: >> - 400/(600+400) = 0.4 >> Therefore, this is the answer.
 === Bing Chat Precise mode ===
 Here is the translation of the text from Japanese to English:
 To properly explain the answer to (1), some preparation is required. So we won’t go into detail here (we’ll deal with it properly later), but for now, please try to answer by intuition. For (2), please show not only your intuition but also a proper calculation basis (even if you think about it first with your intuition). , … (1) The answer to this question is about 2.16. Isn’t that a little less? In the case where white remains from the beginning (the probability of which should be relatively small), even if the remaining number is small, if black remains, since there was a difference of 200 at first, many people feel that the remaining number should be much larger. Why is it so small? Also, how can we calculate it accurately? There is actually a very simple way to calculate it. Please see page 98 for the calculation method. (2) If you are told to do it immediately, many people may think that the answer is “4” by simply taking out a simple ratio from the given numbers as “600:00 Nitto”. On the other hand, many people may think that it’s not such a simple story, but in fact, that’s correct as an answer. However, how can we show its calculation basis? When solving this problem, if you try to solve it in order according to the time problem, you will need a very difficult series calculation at first. However, with a little change of idea, you can find out very simply. When taking out balls from here on out. There’s no need to stop taking out balls when one color runs out. You can keep taking them out until later and judge by their color later on and it’s still the same thing. Therefore what we want to find out is probability that ball taken last will be white. Also randomly taking balls until last one is same as lining up total of 1000 balls consisting of 600 black and 400 white randomly in one line. In case they are lined up randomly in one line whether looking from front or back doesn’t change probabilistic properties. In other words probability that ball taken last will be white is same as probability that ball taken first will be white. Since initially 400 out of total 1000 balls are white probability that ball taken first will be white is -400…04 600 + 400 = # And this is your answer.
 Is there anything else I can help with?