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Apply TodayThis Challenge is to quickly provide the high precision probability of legal RISK battles up to 100 vs 100. [ Attack >= 2 and Defense >=1 ].

Related to Cody 1260 RISK Board Game Battle Simulation

**Simplified explanation of the dice play:**

Attacker with 2 armies will throw one die. Attacker with 3 armies will throw two die. Attacker with 4 or more armies will throw three die.

Defense with 1 army will use one die. Defense with 2 or more armies will throw 2 die.

The attacker High is compared to the Defender High. If Attacker High > Defender High then defender loses 1 army otherwise Attacker loses 1 army. Tie goes to defender. If the Defender threw two die and the Attacker threw 2 or more die then the Second Highest of each is compared. If Attack > Defense then Defense loses an army otherwise Attack loses an army. Attack continues until No defenders remain (Win) or Attack is reduced to 1 army (Lose).

**Input:** a,d where a is number of attacking armies and d is number defending

**Output:** pwin, the probability of the Attacker Winning

**Accuracy:** Accurate to +/- 1e-6

**Scoring:** Time (msec) to solve 10 Battle Scenarios

3 correct solutions
10 incorrect solutions

Last solution submitted on Dec 11, 2014

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