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수학동아 - 폴리매스
함께 풀고 싶은 문제
나도 수학쌤 문장제 문제를 변형해 문제를 내는 곳입니다.
[문장제 문제&개념응용] [대수] 무작위 전화
17수락
2020.12.05 10:08
조회 381
수락은 휴대폰을 들어 무작위로 아무 버튼이나 눌러서 어떤 사람에게 전화를 걸려고 한다
전화번호의 형식은 010-xxxx-xxxx 이다 숨겨진 문제! 페르마의 마지막 정리를 증명한 사람은 누구?( 이 문제를 맞춰야지만 해결입니다)
하지만 이 번호들을 막 무작위로 누르는것이 아니라 규칙이 있다
1. 010으로 시작하며, 뒤 8개는 무작위로 선택한다
2. 무작위이긴 하지만, 각 번호마다 걸릴 확률이 다르다(단, 각 확률은 모두 자연수이다)
3. 1은 9와 걸릴 확률이 같으며, 그 확률은 3과 7이 걸릴 확률에서 3을 뺀 결과고, 2와 8이 걸릴 확률의 제곱근이며, 4와 6이 걸릴 확률의 1/4이다
4. 가운데인 5가 나올 확률은 1과 9가 나올 확률의 제곱에서 영구치아를 뺀 결과이다
5. 아무것도 안치고 허탕만 칠 확률은 0%이다
이럴때, 수락의 전화를 받은 사람이 리만가설일 확률은?
리만가설의 전화번호는 010-4x5x-1xxx 이다
지금 바로
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