Robot Statistics Battle

Game description: A game where two players "build" robots and then battle using the power of statistics and probability.

• Stats: To set your stats, you choose a value from 1­6 for each of the 6 stats. Larger numbers mean
  better robots. However, the six values you choose must sum to exactly 20. Before you choose
  your stats, you should read this description of each below.
• Strength: Strength determines how much damage you do. Your strength is multiplied by a random integer
  from 1­6 to determine your damage. If your strength is zero then you will never do any damage.
• Speed: Your speed determines your chances of dodging attacks. Your value for speed is divided by 12
  to determine your probability of dodging. When you dodge an opponent’s attack, no damage is
  dealt. 
• Health: This determines how much damage you can take. Your total health in a battle is equal to the
  value for health times 20. When you take damage, your health decreases by that much. If your
  health drops to or below zero, you have lost the battle.
• Defense: Determines how much damage you can block from attacks. Divide the defense value of your
  robot by 3, then multiply by a random number from 1­6. The result is subtracted from the
  amount of damage you take.*
• Control: Possibly the most important statistic of the 6. Control determines your attack control rate. If your
  attack is controlled properly, then you can calculate dodge rate and damage normally. However,
  if your attack is not controlled, then you hit yourself. Damage dealt to yourself cannot be dodged, and defense against this damage is halved. Your chance of controlling your attack is
  equal to your control value divided by 6.
• Intelligence: Another important statistic, arguably more important than control. Intelligence gives you a bonus to all of your other stats except health. The bonus varies from stat to stat, so here is a
  descriptive list of what the bonus is for each stat. In the formulas, the variable “i” is intelligence.
  1. All damage is increased by strength * i / 3.
  2. Your dodge rate is increased by i / 18.
  3. You block more damage. The amount that you block is increased by defense * i / 9.
  4. Your control statistic is increased by i / 3.
• Bonus challenge: Analyze the game and figure out which robots are most likely to win, and which aren’t