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 The carnival game (Posted on 2003-09-18)
You look at a carnival game. The person running it says, "Just reach your hand into this bag. There are 9 yellow balls and 1 red ball in the bag. You get 4 chances to pull out the red ball. (You have to put the ball you drew back before you draw another ball.) You only have to pay one dollar to play, and you get 3 dollars if you pull out the red ball!"

Assuming the person running the game is telling the truth, and the balls only differ in color, would you expect to make a net profit or a net loss on this game?

 See The Solution Submitted by Gamer Rating: 3.5556 (9 votes)

 Subject Author Date Solution Stephen Ticsay 2005-04-16 04:45:00 re: Corrected Simulation Results Mike Graham 2004-12-11 22:01:21 re: An Ambiguity Mike Graham 2004-12-11 21:57:58 No Subject logischer Verstand 2004-04-13 21:59:21 re(2): Solution SilverKnight 2003-10-08 13:47:29 re: Solution matt white 2003-10-08 13:42:53 \$\$\$ pat 2003-09-26 13:14:33 re: how many tries? abc 2003-09-22 17:37:28 how many tries? Dacre 2003-09-22 08:12:49 re: The Carnival Game abc 2003-09-21 22:37:16 The Carnival Game Denis Cronin 2003-09-21 19:23:11 Simplified example (re: Bart's solution) TomM 2003-09-20 21:10:23 re(3): solution Gamer 2003-09-19 17:38:20 re(2): solution Bart freeman 2003-09-19 15:45:18 An Ambiguity RoyCook 2003-09-19 13:20:22 re: solution abc 2003-09-19 11:03:07 This one took balls !!!!!! Dan 2003-09-19 03:47:41 solution Bart freeman 2003-09-18 20:06:22 re: Corrected Simulation Results Sam 2003-09-18 19:51:03 re: Solution abc 2003-09-18 19:02:40 re: Solution Brian Wainscott 2003-09-18 19:00:20 Solution Senthil Kumar 2003-09-18 18:37:10 Corrected Simulation Results Charlie 2003-09-18 17:25:04 re(5): Solution Charlie 2003-09-18 16:52:51 re(4): Solution Brian Wainscott 2003-09-18 16:49:37 re(3): Solution Charlie 2003-09-18 15:13:23 rough solution abc 2003-09-18 13:15:49 re(2): Solution Sam 2003-09-18 11:42:21 re: Solution Bryan 2003-09-18 11:24:18 Solution fwaff 2003-09-18 08:18:31

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