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Roll of the die (Posted on 2005-04-21) Difficulty: 4 of 5
The object of the dice game is to be the first player to reach a score of at least 100 points.
Each player’s turn consists of repeatedly rolling a die.
After each roll, the player has two choices: roll again, or stop.
- If the player rolls 1, nothing is scored in that turn and it becomes the opponent’s turn.
- If the player rolls a number other than 1, the number is added to the player’s turn total and the player’s turn continues.
- If the player stops, the turn total (the sum of the rolls during the turn), is added to the player’s score, and it becomes the opponent’s turn.

What's your strategy?

See The Solution Submitted by Hugo    
Rating: 4.1111 (9 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(3): Pass The Pigs!!!!!!!!!!!!!!!! | Comment 7 of 23 |
(In reply to re(2): Pass The Pigs!!!!!!!!!!!!!!!! by nikki)

I've only ever gotten a leaning jowler once.  From what I remember, most of the time, I got a razorback and something else.  That's all I would ever get.  Oh well...

As for this problem, I think Steve Herman's strategy of hit at 19 and stay at 21 seemed to work for most of my test rolls.  Although, strategy may change depending on your opponent's score.  If you are way behind, it may pay off to go wild and keep rolling for a few more rolls in hopes of catching up.  On the other hand, if you were way ahead, you may want to be a little more conservative in your rolling, so as to slide gracefully into the winner's circle.

Perhaps there is a function f(x) such that x is how many points you are ahead (x is negative if you are behind) and f(x) is at what number of points you should stop.

  Posted by Dustin on 2005-04-23 03:11:08
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