|
Upper Section bonus: 0 points
Extra Yahtzee bonus: 0 points
The theoretical outcome of the game is 229.6615. The outcome of the game was calculated with an exact method. The distribution of the scores is also interesting:
This distribution was generated by P-Yahtzee professional playing 10 million random games in about two hours. The average score was 229.64, a good estimation of the theoretical score. The program obtained in total 3.424 million Yahtzees (used only for the Yahtzee box). The most probable score is 223.
The maximum score obtained during these games was 321. The combinations were as follows:
|
Box
|
Combination
|
Value
|
Extra Yahtzee bonus
|
|
Ones
|
11335
|
1
|
0
|
|
Twos
|
22225
|
8
|
0
|
|
Threes
|
33366
|
12
|
0
|
|
Fours
|
44444
|
20
|
0
|
|
Fives
|
55555
|
25
|
0
|
|
Sixes
|
66666
|
30
|
0
|
|
3ofaKind
|
45666
|
27
|
0
|
|
4ofaKind
|
46666
|
28
|
0
|
|
FullHouse
|
11111
|
25
|
0
|
|
SmStraight
|
12334
|
30
|
0
|
|
LgStraight
|
12345
|
40
|
0
|
|
Yzee
|
44444
|
50
|
0
|
|
Chance
|
55566
|
27
|
0
|
|
|
Upper Section bonus
|
0
|
|
|
|
Total Score
|
321
|
|
|
The minimum score obtained during these games was 77. The combinations were as follows:
|
Box
|
Combination
|
Value
|
Extra Yahtzee bonus
|
|
Ones
|
11446
|
2
|
0
|
|
Twos
|
12355
|
2
|
0
|
|
Threes
|
12336
|
6
|
0
|
|
Fours
|
12246
|
4
|
0
|
|
Fives
|
12355
|
10
|
0
|
|
Sixes
|
23356
|
6
|
0
|
|
3ofaKind
|
34666
|
25
|
0
|
|
4ofaKind
|
11455
|
0
|
0
|
|
FullHouse
|
12455
|
0
|
0
|
|
SmStraight
|
12335
|
0
|
0
|
|
LgStraight
|
24556
|
0
|
0
|
|
Yzee
|
23555
|
0
|
0
|
|
Chance
|
23566
|
22
|
0
|
|
|
Upper Section bonus
|
0
|
|
|
|
Total Score
|
77
|
|
|
|
