쉐도잉 연습: Can you solve the cheating royal riddle? - Dan Katz - YouTube로 영어 말하기 배우기

C1
You’re the chief advisor to an eccentric king who needs to declare his successor.
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1
You’re the chief advisor to an eccentric king who needs to declare his successor.
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He wants his heir to be good at arithmetic, lucky, and above all else, honest.
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So he’s devised a competition to test his children, and ordered you to choose the winner.
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Each potential heir will be given the same two six-sided dice.
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The red die has the numbers 2, 7, 7, 12, 12, and 17.
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The blue one has 3, 8, 8, 13, 13, and 18.
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The dice are fair, so each side is equally likely to come up.
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Each contestant will be sent into a Royal Rolling Room, where they’ll roll both dice 20 times.
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A contestant’s score starts at zero, and each turn, they should add the total of the two numbers rolled to their score.
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After 20 turns, they should report their final score.
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The rooms are secure, and no one observes the rolls.
12
That means a contestant could add incorrectly, or worse, be dishonest and make up a score they didn’t achieve.
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This is where you come in.
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The king has instructed you that if you’re at least 90% sure a contestant mis-added or cheated, you should disqualify them.
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The highest-scoring player who remains will be the new heir to the throne.
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After you explain the rules, the children run to their rooms.
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When they return, Alexa announces her score is 385.
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Bertram says 840. Cassandra reports 700. And Draco declares 423.
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The future of the kingdom is in your hands.
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Whom do you proclaim to be the worthiest successor?
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Pause now to figure it out for yourself.
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Upon inspection, most of these scores are concerning.
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Let’s start with the highest.
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Bertram scored 840.
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That’s impressive… but is it even possible?
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The highest numbers on the two dice are 17 and 18.
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17 plus 18 is 35, so in 20 rolls, the greatest possible total is 20 times 35, or 700.
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Even if Bertram rolled all the highest numbers, he couldn’t have scored 840.
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So he’s disqualified.
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Cassandra, the next-highest roller, reported 700.
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That’s theoretically possible… but how hard is it to be that lucky?
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In order to get 700, Cassandra would have to roll the highest number out of six on 40 separate occasions.
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The probability of this is 1 over 6 to the 40th power, or 1 in about 13 nonillion— that’s 13 followed by 30 zeros.
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To put that in perspective, there are about 7.5 billion people in the world, and 7.5 billion squared is a lot less than 13 nonillion.
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Rolling the highest number all 40 times is much less likely than if you picked a completely random person on Earth, and it turned out to be actor Paul Rudd… and then you randomly picked again, and got Paul Rudd again!
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You can’t be 100% sure that Cassandra’s score didn’t happen by chance… but you can certainly be 90% sure, so she should be disqualified.
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Next up is Draco, with 423.
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This score isn’t high enough to be suspicious.
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But it’s impossible for a different reason.
40
Pick a number from each die, and add them up.
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No matter which combination you choose, the result ends in a 0 or a 5.
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That’s because every red number is 2 more than a multiple of 5, and every blue number is 3 more than a multiple of 5.
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This means that when you add them together, you’ll always get an exact multiple of 5.
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And when you add rolls that are multiples of 5, the result will also be a multiple of 5.
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These sorts of relationships between integers are studied in a branch of math called number theory.
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Here number theory shows us that Draco’s score, which is not a multiple of 5, cannot be achieved.
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So he should be disqualified as well.
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This leaves Alexa, whose score is a multiple of 5 and is in the achievable range.
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In fact, the most likely score is 400, so she was a little bit unlucky.
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But with everyone else disqualified, she’s the last heir standing.
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All hail Queen Alexa, the worthiest successor!
52
At least if you agree that the best way to organize your government is a roll of the dice...

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이 수업에 대해

이번 수업에서는 왕위 계승자를 선택하기 위한 재미있고 도전적인 퍼즐을 통해 영어 회화 연습을 합니다. 다양한 수학적 개념과 확률을 활용하는 대화 속에서, 학생들은 새로운 어휘를 배우고, 영어 발음 교정을 위한 기회를 가질 수 있습니다. 이 비디오는 대화의 논리적인 흐름과 발음을 연습하는 데 중점을 두며, 듣기, 말하기 기술을 동시에 향상시킬 수 있습니다.

주요 어휘 및 구문

  • successor (후계자)
  • arithmetic (산수)
  • honest (정직한)
  • disqualify (실격시키다)
  • score (점수)
  • probability (확률)
  • multiple (배수)
  • dice (주사위)

연습 팁

비디오에서 Dan Katz의 말하는 속도는 비교적 일정하며 명확하게 발음됩니다. 영어 쉐도잉을 통해 그의 발음을 따라하는 것이 매우 효과적입니다. 특히, 각 단语의 강세와 리듬에 주의하면서 shadow speak 연습을 하세요. 처음에는 속도를 낮추고, 점차 원래 속도로 진행해 보세요. 또, 각 대화의 논리와 문맥을 이해한 후에 자신만의 해석을 추가해보면 영어 발음 교정에 큰 도움이 될 것입니다. 반복해서 따라하면서 자연스러운 영어 회화 연습을 이어가세요. 20번의 주사위를 굴리는 과정처럼, 여러 번 반복하는 것이 권장되며, 이러한 연습은 듣기뿐 아니라 스스로의 발음에도 긍정적인 영향을 미칠 것입니다.

쉐도잉이란? 영어 실력을 빠르게 키우는 과학적 방법

쉐도잉(Shadowing)은 원래 전문 통역사 훈련을 위해 개발된 언어 학습 기법으로, 다언어 학자인 Dr. Alexander Arguelles에 의해 대중화된 방법입니다. 핵심 원리는 간단하지만 매우 강력합니다: 원어민의 영어를 들으면서 1~2초의 짧은 지연으로 즉시 소리 내어 따라 말하는 것——마치 '그림자(shadow)'처럼 화자를 따라가는 것입니다. 문법 공부나 수동적인 청취와 달리, 쉐도잉은 뇌와 입 근육이 동시에 실시간으로 영어를 처리하고 재현하도록 훈련합니다. 연구에 따르면 이 방법은 발음 정확도, 억양, 리듬, 연음, 청취력, 말하기 유창성을 크게 향상시킵니다. IELTS 스피킹 준비와 자연스러운 영어 소통을 원하는 분들에게 특히 효과적입니다.

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