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함께 풀고 싶은 문제
깊이 고민해볼 수 있는 수학 문제를 내는 곳입니다
[세상을 바꿀 문제] 주사위 도박
아인수타인 2020.12.02 07:30 조회 908
문제 푼 사람 1명
공유하기
페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

파스탈은 페루마에게 아래와 같은 게임을 제안했다.

 

1. 빨강, 주황, 노랑, 초록, 파랑색 정육면체 주사위가 있다. 단, 이 주사위는 정상적인 주사위는 아닌데, 주사위의 숫자는 아래와 같다.

      빨강: 4,4,4,4,4,9

      주황: 2,2,2,7,7,7

      노랑: 0,5,5,5,5,5

      초록: 3,3,3,3,8,8

      파랑: 1,1,6,6,6,6

2. 페루마가 주사위를 선택하고, 그 다음 파스탈이 주사위를 선택한다.

3. 각자 주사위를 굴려 높은 사람은 심판에게 3만 원을 받고, 진 사람은 5만 원을 준다. 그러면 1라운드가 끝난 것이다.

4. 이런 식으로 라운드를 계속 반복하다가 어느 한 사람의 돈이 0원 이하가 되면 그 사람은 최종 패배한다.

 

페루마는 순순히 응했고(네가 한 번이라도 이긴 적 있냐), 심판은 고우스가 맡기로 했다. 처음에 페루마는 10만원에서 시작한다. 그런데 파스탈은 부자라서 돈이 무한히 많이 있다(???). 그러면 정확히 10라운드에 페루마가 최종 패배할 확률은 얼마일까? 단, 두 사람은 게임에 최선을 다한다(그리고 둘 다 바보가 아니라고 가정한다(근데 바보가 아니라면 순순히 응할 리가 있나...)).

이 문제 어떠셨나요?

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  •  
    MathlabJ Lv.8 2020.12.02 08:34

    이야 심판이 개꿀이네요

    심판은 매 라운드마다 5만원을 받고 3만원만 내면 되니까 2만원 씩 적립!

    10라운드만 심판역할을 해도 20만원 이득!

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

    그러니까 저 심판시켜주세요(?

    댓글 작성하기 좋아요0 댓글수1
  •  
    17수락 Lv.9 2020.12.02 20:30

    바보가 정말 아닌가요?

    어떻게 파스탈은 돈이 무한히 있는데 심판에게 이득이 가는 게임을 페루마가.....

    댓글 작성하기 좋아요0 댓글수1
    •  
      아인수타인 Lv.12 2020.12.03 05:37

      그래서 제가 취소선 하고 맨 마지막 문장 쓴 거죠ㅋㅋㅋㅋ

      좋아요0
  •  
    △π Lv.9 2020.12.03 08:00

    찜

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  •  
    △π Lv.9 2020.12.03 18:19 비밀댓글
    비밀 댓글이 등록 되었습니다.
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    •  
      아인수타인 Lv.12 2020.12.03 21:41 비밀댓글
      비밀 댓글이 등록 되었습니다!
    •  
      아인수타인 Lv.12 2020.12.04 11:06 비밀댓글
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  •  
    해결
    △π Lv.9 2020.12.04 17:10 비밀댓글

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    •  
      아인수타인 Lv.12 2020.12.04 22:20 비밀댓글
      비밀 댓글이 등록 되었습니다!
  •  
    △π Lv.9 2020.12.04 22:43

    와... 저렇게도 __가지가 답으로 나오는군요...!

    신기하네요! 왜 저렇게 할 생각을 못했지???

    댓글 작성하기 좋아요0 댓글수0

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