In my last blog entry I was rather excited about my first +ST +ST player a goblin named
Weakling. While it took 326 games in ranked to get my first +ST +ST player it took only 13 more to get my second. This time it was an
ogre on the very
same team! The team now has two +ST +ST players and another +ST +MA (6,4 not 5,5) player in just 16 skill rolls.
Obviously this is extremely lucky but it left me wondering is it winning the lottery lucky or just making the drive home from work without having to stop for a red light lucky? Fortunately, some quick math will tell us the answer.
The chance of a player getting +ST on first two skill rolls is 0.0007716.
The average number of +ST rolls in 16 rolls is 0.444444.
The chance of getting exactly 0 +ST rolls is 0.6371603.
The chance of getting exactly 1 +ST roll is 0.2912733.
The chance of getting exactly 2 +ST rolls is 0.0624157.
The chance of getting exactly 3 +ST rolls is 0.0083221.
The chance of getting exactly 4 +ST rolls is 0.0007728.
The chance of getting exactly 5 +ST rolls is 0.0000530.
The chance of getting 5 or more +ST rolls is 0.0000559.
Five or more +ST rolls is 0.000559% or one in 17,895. So it still isn't quite like winning a huge lottery but still is quite special.
Now hopefully I can turn this good fortune into some wins. Despite this run of luck the team is a mere 6/1/5 in their first 12 games. Admittedly, most of the +ST rolls have come in the past three games and they are Ogres after all but it still seems even a not great coach like myself should have a bit better record. The team's goal is to win the Ogre XFL and if they can find enough matches to hire a few more ogres and purchase some much needed rerolls they will at least be a force to be reckoned with.