Bataille Corse Simulator

This is the best card game ever.

• Quick to learn
• For all ages
• Hours of intense fun
• People can leave or jump in any time
• Flexible rules
• Resilient to loss of cards

Description of the game on Wikipedia: https://fr.wikipedia.org/wiki/Bataille_corse

However, one question remains: how much does the snap influence the victory?

This little simulation code aims to answer this question.

The results

If you don't snap at all

• With 2 players, you still have 5% chance of winning:

  • Jef has won 5% times and was first to snap 0% of the time
  • Christelle has won 94% times and was first to snap 100% of the time

• With 3 players, about 2% chance of winning

  • Jef has won 2% times and was first to snap 0% of the time
  • Christelle has won 53% times and was first to snap 49% of the time
  • Sophie has won 44% times and was first to snap 50% of the time

• With 4 players, about 2% chance of winning

  • Jef has won 2% times and was first to snap 0% of the time
  • Christelle has won 30% times and was first to snap 33% of the time
  • Sophie has won 35% times and was first to snap 33% of the time
  • Vincent has won 31% times and was first to snap 33% of the time

If you win all the snaps

• With 2 players, you have 95% chance of winning:

  • Jef has won 95% times and was first to snap 100% of the time
  • Christelle has won 4% times and was first to snap 0% of the time

• With 3 players, about 95% chance of winning

  • Jef has won 95% times and was first to snap 100% of the time
  • Christelle has won 1% times and was first to snap 0% of the time
  • Sophie has won 3% times and was first to snap 0% of the time

• With 4 players, about 96% chance of winning

  • Jef has won 96% times and was first to snap 100% of the time
  • Christelle has won 0% times and was first to snap 0% of the time
  • Sophie has won 1% times and was first to snap 0% of the time
  • Vincent has won 1% times and was first to snap 0% of the time

• With 5 players, about 97% chance of winning

  • Jef has won 97% times and was first to snap 100% of the time
  • Christelle has won 0% times and was first to snap 0% of the time
  • Sophie has won 0% times and was first to snap 0% of the time
  • Vincent has won 0% times and was first to snap 0% of the time
  • Laetitia has won 1% times and was first to snap 0% of the time

The Jacks

Instinctively, the Jacks are important. In fact, the Jacks distribution explain the chances of winning even if you don't snap. Because of the 1-card contract, the Jacks provide an advantage to whoever owns them at the beginning of the game.

If Jef is given all the Jacks at the beginning:

• He has 21% chance of winning without snapping

  • Jef has won 21% times and was first to snap 0% of the time
  • Christelle has won 78% times and was first to snap 100% of the time

• He has 78% chance of winning with half of the snaps

  • Jef has won 78% times and was first to snap 50% of the time
  • Christelle has won 21% times and was first to snap 49% of the time

• He has 100% chance of winning with all the snaps

  • Jef has won 99% times and was first to snap 100% of the time
  • Christelle has won 0% times and was first to snap 0% of the time

Game duration

The number of turns played is influenced by:

• the number of players
• how close the players are in snapping time

Example with 6 players:

• Jef has won 17% times and was first to snap 16% of the time
• Christelle has won 16% times and was first to snap 16% of the time
• Sophie has won 16% times and was first to snap 16% of the time
• Vincent has won 14% times and was first to snap 16% of the time
• Laetitia has won 17% times and was first to snap 16% of the time
• Gildas has won 17% times and was first to snap 16% of the time
• Min/Avg/Max number of turns 108/1127/6409

If one player snaps faster than the other ones, the duration of the game is reduced

Example with 6 players:

• Jef has won 89% times and was first to snap 68% of the time
• Christelle has won 1% times and was first to snap 6% of the time
• Sophie has won 1% times and was first to snap 6% of the time
• Vincent has won 2% times and was first to snap 6% of the time
• Laetitia has won 1% times and was first to snap 6% of the time
• Gildas has won 2% times and was first to snap 6% of the time
• Min/Avg/Max number of turns 81/478/2551