Game of luck (Posted on 2004-01-27)

	Submitted by Tristan
Rating: 3.4000 (5 votes)
Solution:	(Hide)
The probabilities are: 3/20 for the first player, 3/17 for the second, 3/14 for the third, and 3/11 for the last. Since the chance of anyone winning in a round is 3/5 and they all have even chances of winning, they must each have 3/20 chance of winning in a round. The players who don’t go first, however, have a chance that they may not get to take their turns at all. So, the players who don’t go first actually have a better chance to win during their turns, provided that their turns come. You divide the chance of winning by the chance of getting a turn, and you get the chance of winning during the turn. 2nd player: (3/20)/(17/20)=3/17 3rd player: (3/20)/(14/20)=3/14 4th player: (3/20)/(11/20)=3/11

	Subject	Author	Date
	Puzzle Answer	K Sengupta	2022-09-16 00:45:35
	re: Clarification =happy ending	Ady TZIDON	2004-02-04 15:14:30
	Clarification	Tristan	2004-02-03 20:12:43
	re(6): another remark to SK 'S solution	Charlie	2004-02-01 12:06:36
	re(6): another remark to SK 'S solution	SilverKnight	2004-01-31 18:54:46
	re(5): another remark to SK 'S solution	Ady TZIDON	2004-01-31 17:51:41
	re(4): another remark to SK 'S solution	Charlie	2004-01-31 14:09:22
	re(3): another remark to SK 'S solution	Ady TZIDON	2004-01-31 13:02:39
	re(2): another remark to SK 'S solution	Charlie	2004-01-31 11:53:51
	re: another remark to SK 'S solution	Charlie	2004-01-31 11:50:33
	another remark to SK 'S solution	Ady TZIDON	2004-01-31 10:37:38
	re(2): my solution	Ady TZIDON	2004-01-31 10:21:39
	re: my solution	SilverKnight	2004-01-30 14:08:05
	my solution	Ady TZIDON	2004-01-30 11:54:53
	Question	Penny	2004-01-27 18:45:07
	re(2): Charlie's solution	Charlie	2004-01-27 14:19:19
	re(2): Charlie's solution	SilverKnight	2004-01-27 14:18:27
	re: Charlie's solution	SilverKnight	2004-01-27 14:17:11
	re: solution -- on second thought	Charlie	2004-01-27 14:14:29
	solution	SilverKnight	2004-01-27 14:04:28
	solution	Brian Smith	2004-01-27 13:56:34
	solution	Charlie	2004-01-27 13:41:23
	No Subject	Victor Zapana	2004-01-27 13:15:47