A JavaScript simulator of the card game war.
It runs a bunch of deterministic games of war from a random shuffling of cards and counts how many times cards have to be flipped before the game is won by either player.
Units: the stats are all computed from the number of times the equivalent of a deck is cycled, i.e., 26 card flips, i.e., half a deck.
An example output of the script running on 10,000 trials:
mean: 10.349926923076936
median: 7.788461538461538
mode: 3.9615384615384617
variance: 68.77459123726301
standard deviation: 8.293044750709054
min: 1.0384615384615385
max: 85.73076923076923
1st percentile: 1.6923076923076923
2nd percentile: 1.9230769230769231
95th percentile: 26.846153846153847
99th percentile: 40.63461538461539