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The carnival game (Posted on 2003-09-18) Difficulty: 2 of 5
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)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolutionStephen Ticsay2005-04-16 04:45:00
re: Corrected Simulation ResultsMike Graham2004-12-11 22:01:21
re: An AmbiguityMike Graham2004-12-11 21:57:58
SolutionNo Subjectlogischer Verstand2004-04-13 21:59:21
re(2): SolutionSilverKnight2003-10-08 13:47:29
re: Solutionmatt white2003-10-08 13:42:53
$$$pat2003-09-26 13:14:33
re: how many tries?abc2003-09-22 17:37:28
Some Thoughtshow many tries?Dacre2003-09-22 08:12:49
re: The Carnival Gameabc2003-09-21 22:37:16
Some ThoughtsThe Carnival GameDenis Cronin2003-09-21 19:23:11
Simplified example (re: Bart's solution)TomM2003-09-20 21:10:23
re(3): solutionGamer2003-09-19 17:38:20
re(2): solutionBart freeman2003-09-19 15:45:18
An AmbiguityRoyCook2003-09-19 13:20:22
re: solutionabc2003-09-19 11:03:07
This one took balls !!!!!!Dan2003-09-19 03:47:41
solutionBart freeman2003-09-18 20:06:22
re: Corrected Simulation ResultsSam2003-09-18 19:51:03
re: Solutionabc2003-09-18 19:02:40
re: SolutionBrian Wainscott2003-09-18 19:00:20
SolutionSolutionSenthil Kumar2003-09-18 18:37:10
Corrected Simulation ResultsCharlie2003-09-18 17:25:04
re(5): SolutionCharlie2003-09-18 16:52:51
Questionre(4): SolutionBrian Wainscott2003-09-18 16:49:37
re(3): SolutionCharlie2003-09-18 15:13:23
rough solutionabc2003-09-18 13:15:49
re(2): SolutionSam2003-09-18 11:42:21
re: SolutionBryan2003-09-18 11:24:18
SolutionSolutionfwaff2003-09-18 08:18:31
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