# Heckmeck Analysis

Heckmeck (Dutch: Regenwormen) is a dice game by Reiner Knizia.
On this page, I present some strategic hints for playing the game.
To calculate the optimal strategy for a given situation, use this simulator (documentation forthcoming).

## Everything you've always wanted to know about Heckmeck but were afraid to ask

*What is the expected value for the number of worms in the first turn of the game?*

1.6447.

*How difficult is it to get exactly/at least stone X?*

See the following table:

# prec minm
--------------
21: 44,0 89,3
22: 41,3 85,6
23: 41,6 80,1
24: 37,5 74,8
25: 33,6 68,0
26: 28,4 60,7
27: 24,8 52,5
28: 22,1 43,5
29: 17,7 34,6
30: 13,6 26,4
31: 9,8 19,4
32: 7,2 13,6
33: 5,1 8,7
34: 3,1 5,3
35: 1,7 2,9
36: 0,9 1,6

E.g., the chance of making exactly 25 is 33,6%; the chance of making at least 25 is 68%.

*From the initial situation, which are the best moves?*

That is, when starting the game, which amounts of which dice are best to put aside?
The complete ordering is as follows:

8w 7w 6w 5w 4w 45 55 3w 35 2w 44 65 54 25 34 24 64 23 14 13
1w 12 15 33 11 43 53 22 32 21 74 75 42 63 31 73 52 62 41

Note, in particular, the following sub-sequence:
2w 25 24 23 22 21
14 13 1w 12 15 11

That is, it is always better to put aside doubles of at least value 3; then a single 4, 3, worm, 2, 5, and 1.

*Latest update: March 3, 2014 by Meilof Veeningen.*