|
Upper Section bonus: 63 points
Extra Yahtzee bonus: 0 points
The theoretical outcome of the game is 245.9047. The outcome of the game was calculated with an exact method. The distribution of the scores is also interesting:
his distribution was generated by P-Yahtzee professional playing 10 million random games in about two hours. The average score was 245.86, a good estimation of the theoretical score. The program obtained in total 3.174 million Yahtzees (used only for the Yahtzee box). The most probable score is again 266.
The maximum score obtained during these games was 360. The combinations were as follows:
|
Box
|
Combination
|
Value
|
Extra Yahtzee bonus
|
|
Ones
|
12356
|
1
|
0
|
|
Twos
|
22223
|
8
|
0
|
|
Threes
|
33334
|
12
|
0
|
|
Fours
|
44444
|
20
|
0
|
|
Fives
|
55555
|
25
|
0
|
|
Sixes
|
66666
|
30
|
0
|
|
3ofaKind
|
55556
|
26
|
0
|
|
4ofaKind
|
66666
|
30
|
0
|
|
FullHouse
|
44666
|
25
|
0
|
|
SmStraight
|
23456
|
30
|
0
|
|
LgStraight
|
23456
|
40
|
0
|
|
Yzee
|
11111
|
50
|
0
|
|
Chance
|
55666
|
28
|
0
|
|
|
Upper Section bonus
|
63
|
|
|
|
Total Score
|
360
|
|
|
The minimum score obtained during these games was 76. The combinations were as follows:
|
Box
|
Combination
|
Value
|
Extra Yahtzee bonus
|
|
Ones
|
11136
|
3
|
0
|
|
Twos
|
12224
|
6
|
0
|
|
Threes
|
33446
|
6
|
0
|
|
Fours
|
44446
|
16
|
0
|
|
Fives
|
24555
|
15
|
0
|
|
Sixes
|
35566
|
12
|
0
|
|
3ofaKind
|
22566
|
0
|
0
|
|
4ofaKind
|
25566
|
0
|
0
|
|
FullHouse
|
13345
|
0
|
0
|
|
SmStraight
|
22446
|
0
|
0
|
|
LgStraight
|
24566
|
0
|
0
|
|
Yzee
|
11556
|
0
|
0
|
|
Chance
|
22356
|
18
|
0
|
|
|
Upper Section bonus
|
0
|
|
|
|
Total Score
|
76
|
|
|
|
