War Simulation Statistics Report:

Total games played: 1000000
Games won by Player 1: 500831
Games won by Player 2: 499169
tie games: 0

Overall mean initial card value: 8.0
Overall median initial card value: 8.0

Mean winning value: 8.10589526923077
Median winning value: 8.115384615384615
Max Win Mean: 10.346153846153848
Min Win Mean: 5.769230769230769
Chance of winning with a mean larger than 8: 56.67%

Mean losing value: 7.8941047307692305
Median losing value: 7.884615384615385
Max Lose Mean: 10.23076923076923
Min Lose Mean: 5.653846153846154

Chance of winning with 0 aces: 21.84%
Chance of winning with 1 ace: 35.90%
Chance of winning with 2 aces: 50.00%
Chance of winning with 3 aces: 64.10%
Chance of winning with 4 aces: 78.16%

Mean number of wars per game: 16.780996
Median number of wars per game: 13.0
Mode number of wars per game: 6
Max number of wars in a game: 255