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Does Rolling Double Sixes Guarantee a Win in Risk?

No. Double sixes (two 6s) for the attacker do not guarantee victory in Risk.

Combat Resolution Rules

  1. Dice pools: Attacker rolls up to 3 dice (≥3 armies); Defender rolls up to 2 dice (≥2 armies).
  2. Pairwise comparison: Highest attacker die vs. highest defender die → next highest vs. next highest.
  3. Tie goes to defender.
  4. Each lost comparison = lose 1 army.

Why Double Sixes Can Still Lose

  • Defender rolls two 6s → ties both → attacker loses 2 armies.
  • Defender rolls 6 and 5 → attacker wins first pair (6 vs 6 = tie → defender wins), loses second (6 vs 5 → attacker wins). Net: each loses 1.
  • Attacker rolls 6,6,1 vs Defender 6,6 → both pairs tie → attacker loses 2.

Probabilities (3v2)

  • Attacker wins both: ~37%
  • Each wins one: ~34%
  • Defender wins both: ~29%

Double sixes are the *best possible roll* but never a sure thing. The defender's dice matter equally.


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