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Discard Dice (Posted on 2012-07-27) Difficulty: 3 of 5

In a dice game, 2 players each simultaneously cast 4 fair 6-sided dice, to form a 'hand'.

Each player then:-
(i) discards the highest-scoring die from his hand, and
(ii) scores the value of the next-highest (or highest-equal) die in his hand.

If my opponent has cast {6,4,4,3}, discarding the 6 to score 4, what is the probability that my score exceeds his?

See The Solution Submitted by broll    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Hints/Tips Answer | Comment 1 of 4
I'm coming up with a 40.74% that you would beat his score.

I used brute force in excel. I will try to convert it to google docs and post a link later.

  Posted by Dustin on 2012-07-27 15:54:41
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