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| Date |
2007/04/08 21:04:48 |
| Name |
조성화 |
| Subject |
수리통계 문제입니다. |
|
An eight-team single elimination tournament is set up as follows:
A E
-----| |-------
|-----| |-------|
-----| | | |-------
B | | F
|---------- winner -----------| G
| | |-------
C | |-------|
-----| | |-------
|-----| H
-----|
D
For example, eight students (called A-H) set up a tournament among themselves.
The top listed student in each bracket calls Heads of Tails when their opponent flips
a coin. If the call is correct, the student moves on to the next bracket.
(a) How many coin flips are required to determine the tournament winner?
(b) What is the probability that you can predict all of the winners?
(c) In NCAA Division I basketball, after a play-in game between the 64th and 65th seeds, 64 teams participate in a single elimination tournament to determine the national champion. Considering only the remaining 64 teams, how many games are required to determine the national champion?
(d) Assume that for any given game, either team has an equal chance of winning.
(That is probably not true.)Time, on page 43 of the March 22, 1999 issue, claimed that the "mathematical odds of predictiong all 63 NCAA games correctly is 1 in 75 million." Do you agree with this statement? If not, why not ?
휴으... 제가 답을 구하긴 했는데... 답안지가 없어 불확실해 (절 믿지 못하겠습니다 ㅠ.) 이렇게 질문 올립니다 ^_^;; 양해 부탁드립니다
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법 없이도 사는 사람, 남에게 상처를 주지 않으면서 같이 이야기 나눌 수 있는 분이면 좋겠습니다."
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