All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Games
The Dice Game (Posted on 2005-11-04) Difficulty: 2 of 5
In a game show, there is a certain game in which there are four hidden digits. There are no numbers greater than six among them, and no zeros.

You roll a die and then guess if the first digit is higher or lower than what you rolled. (If the die you rolled is equal to the first digit, you win no matter what you said.) You then roll and guess for each of the other three digits.

If you use the best strategy each time when saying "higher" or "lower", what is the chance you will get all four right and win? (Keep in mind you have no idea what the 4 digit number is.)

  Submitted by Gamer    
Rating: 3.6667 (3 votes)
Solution: (Hide)
The best strategy is to say higher with 1, 2, and 3, and lower with 4, 5, and 6.

So you have a 6/6 chance of winning on that digit if it's a 1 or 6, a 5/6 chance of winning on that digit if it's a 2 or a 5, and a 4/6 chance of winning on that digit if it's a 3 or a 4. This means you have a 5/6 chance of getting each roll right, so for 4 rolls, that is 625/1296 probability of winning. This means the odds are slightly against you.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: sean correct - another approachAdy TZIDON2014-11-28 22:08:39
sean correct - another approachCharles Archibals2006-08-31 02:34:15
Some ThoughtsA different solution.....Dej Mar2006-08-28 15:06:10
Not a solution, but...Joe2006-08-28 02:04:53
Worst Case ScenarioMorgan2005-11-16 17:45:00
SolutionHeather2005-11-10 23:41:44
ERROR MY SOLUTIONLeigh Lillico2005-11-07 04:19:21
MY SOLUTIONLeigh Lillico2005-11-06 04:05:41
solutionSean2005-11-04 09:50:38
SolutionSolutionOld Original Oskar!2005-11-04 08:27:19
SolutionBender2005-11-04 08:05:57
SolutionSolution given assumptions.Jer2005-11-04 07:47:24
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information