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The odds stay unchanged (Posted on 2004-06-17) Difficulty: 4 of 5
On a certain island each of the inhabitants is a member of one of the two existing clubs.

The membership distribution is such that when two random people meet, the probability of those two belonging to the same club is equal to the probability of them belonging to distinct clubs.

When 100 newcomers arrive on the island and each enrolls in one of the two clubs, the distribution still retains this feature. How many people belong to either club?

See The Solution Submitted by Ady TZIDON    
Rating: 4.2727 (11 votes)

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  Subject Author Date
SolutionPuzzle SolutionK Sengupta2008-05-27 15:50:58
AnswerK Sengupta2008-05-23 06:14:12
Solutionfull solutionBon2004-07-12 17:24:56
Some Thoughtsche??vije2004-07-07 13:22:37
Hints/Tipsre: generalisation ==> author's remarksAdy TZIDON2004-06-20 11:00:07
More about generalization:Gamer2004-06-19 18:27:45
Another ApproachGamer2004-06-18 23:22:00
re(2): ution - NON trivial solutionAdy TZIDON2004-06-17 18:23:25
re: Non-trivial answer by brute forceDan Blume2004-06-17 16:28:30
re: Non-trivial answer by brute force - sorry, noThalamus2004-06-17 16:25:12
Non-trivial answer by brute forceDan Blume2004-06-17 16:18:08
re(2): A trivial solution - NON trivial solutionSilverKnight2004-06-17 15:51:30
Solutionre: A trivial solution - NON trivial solutionErik O.2004-06-17 15:41:35
SolutionA trivial solutionErik O.2004-06-17 15:13:39
hints - partial solutionErik O.2004-06-17 14:41:36
re(2): First meeting (hint)Dan Blume2004-06-17 14:00:50
re: Possibility? (spoiler?)Charlie2004-06-17 13:57:38
re: Possibility? (spoiler?)SilverKnight2004-06-17 13:57:26
Hints/TipsPossibility? (spoiler?)Richard2004-06-17 13:54:38
Hints/Tipsre: First meeting (hint)Thalamus2004-06-17 13:54:02
Some ThoughtsFirst meetingDan Blume2004-06-17 13:45:24
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