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수학동아 - 폴리매스
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함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] 현금봉투의 딜레마
MathlabJ 2020.04.09 09:24 조회 686

현금봉투가 2개 있다. 당신은 한 봉투에 들어있는 돈은 다른 봉투에 들어있는 돈의 2배라는 사실을 알고있다.

 

당신은 두 봉투중 하나를 골라 내용물을 확인했다. 10만원이었다.

 

당신에게는 봉투를 바꿀수 있는 기회가 한 번 있다. 봉투를 바꿨을 때 5만원이 들어있을 수도 있고, 20만원이 들어있을 수도 있다.

 

당신은 봉투를 바꿀것인가?

자신의 생각과 이유를 적어주세요.

이 문제 어떠셨나요?

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  •  
    MathlabJ Lv.8 2020.04.09 09:24

    봉투를 바꾸는지 여부에 상관없이 이유가 논리적으로 타당하다면 해결 드립니다.

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  •  
    해결
    은총알 Lv.11 2020.04.09 09:28 비밀댓글
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    해결
    로보카폴리 Lv.11 2020.04.09 09:38 비밀댓글
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    해결
    검은비단나비 Lv.2 2020.04.09 09:42 비밀댓글
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  •  
    MathlabJ Lv.8 2020.04.09 09:56

    많은 분들이 기댓값관점에서 봉투를 바꾼다는 선택을 해주셨는데요.

     

    혹시 이렇게 생각해보시는 건 어떨까요?

    두 봉투에 n원과 2n원이 들어있다고 하면,

    봉투를 바꿨을때 n원을 얻거나 n원을 잃거나 아닌가요?

     

    그렇다면 봉투를 바꾸든 안바꾸든 결국 손해와 이익은 같아진다는 결론이 나오는데요.

     

    어떻게 생각하시나요?

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    해결
    GUN.007 Lv.11 2020.04.10 02:22 비밀댓글
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