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Function: driver
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Function: require_once
수학동아 - 폴리매스
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] 게임이론(과는 관계 없는 근의 공식)(과도 관계 없는 문제)
요즘 다들 해킹을 참 좋아한다.
해킹을 해서 어떤 컴퓨터를 작살낸다고 생각해보자.
하드 드라이브 초기화를 위해 저장된 정보를 삭제하는 방법보다는 보통 저장된 정보를 훼손한다.
쉽게 말해, 이진수로 이루어진 정보, 즉 0과 1을 이상하게 바꾸는 것이다.
물론 컴퓨터가 바꾸는 것이기 때문에 0과 1을 바꿀 때 당연히 규칙이 있다.(여기까지만 정확하고 앞으로는 제가 대충 지어낸 말입니다.)
자, 이 규칙을 적용해보자. 임의의 10자리의 이진수가 있다고 하자. 그 이진수를 모두 더해 짝수이면, 홀수번째 자리의 숫자를 모두 반대로 바꾼다.(0은 1로, 1은 0으로) 홀수이면 짝수번째 자리의 숫자를 모두 반대로 바꾼다.
ex) 1010101010이라면
모든 자릿수를 더하면 5니까, 짝수번째 자리의 숫자를 모두 바꿔서 1111111111이 된다.
자, 그러면 문제는 이것이다. 임의의 이진수 4자리를 만들고, 위에서 말한 규칙을 적용했을 때, 모든 자리수가 같은 숫자일 확률은?
-
-
켋
Lv.7
2020.03.11 23:35
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