How to Attack in Risk: Dice Rules, Odds & Strategy

Attack Mechanics

1. Declare Target: Adjacent enemy territory.
2. Attacker Dice: Roll 1–3 dice (max = armies in attacking territory − 1; min 1 army must stay).
3. Defender Dice: Roll 1–2 dice (max = armies in defending territory).
4. Pair & Compare: Sort each side high→low. Pair highest vs highest, second vs second.
   • Attacker die > Defender die → Defender loses 1 army.
   • Attacker die ≤ Defender die → Attacker loses 1 army.
5. Repeat: Continue until attacker stops, defender eliminated, or attacker has 1 army left.
6. Occupy: If defender eliminated, move ≥1 army (up to all surviving attackers) into territory. Must leave 1 behind.

Key Rules

• Max Dice: Att 3, Def 2.
• Defender Wins Ties.
• No "Split" Attacks: One target per turn (but can attack multiple territories sequentially).

Strategic Principles

• Overwhelm: Attack with 3 dice vs 1–2 (high win %).
• Big Stacks: Concentrate armies for sustained campaigns.
• Target Weakness: Isolated 1-army territories.
• Secure Continents: Bonus armies fuel offense.
• Calculate Risk: 3v2 → Att wins ~37%, loses 2 ~29%, split ~34%. 3v1 → Att wins ~66%.
• Don't Overextend: Leave defenses; anticipate counterattacks.

Master the math, control the map, conquer the world!