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Function: require_once
수학동아 - 폴리매스
함께 풀고 싶은 문제
나도 수학쌤 문장제 문제를 변형해 문제를 내는 곳입니다.
[문장제 문제&개념응용] [확률] 규칙 저글링
17수락
2020.12.02 00:52
조회 400
수락은 리만가설과 또 저글링을 하려고 한다
저글링은 오래 한 사람이 이기는 방식으로 하게 된다
이번에도 규칙이 있다
1. 저글링을 시작할때는 공을 3개 아니면 4개씩 갖고 시작한다. 이를 정하는 방법은 각각 50%확률로 있는 추첨을 하는 것이다
2. 리만가설은 공 1개가 늘어날 때마다(0개에서 시작) 1 세트를 성공할 확률이 전체에 비례해 30% 떨어지며, 공이 0개일때 성공확률은 100%이다
3. 수락은 공 2개가 늘어날 때마다 1 세트를 성공할 확률이 전체에 비례해 45% 떨어지며, 공이 0개일때 성공확률은 90%이다
4. 만약 연속으로 3세트를 리만가설이 성공하면 성공확률이 현재에 비례해 20% 높아지고, 수락이 성공하면 현재에 비례해 25%가 늘어난다
5. 연속으로 5개를 성공하면 공 1개가 추가된다
이러한 규칙이 있을때, 수락과 리만가설이 공 10개를 가지고 저글링을 할 확률은 각각 얼마인가?
지금 바로
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