From Curious Expedition 2 Wiki

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Each companion + the explorer gives you 1 die. Each equipped weapon adds an extra die.

Each die has 6 sides with up to 6 possible outcomes. You can hover over the dice to see potential rolls. Each side represents an action the player can perform. Blank sides yield no outcome.

Each character has its own die usable for dice challenges and combat. You can see it in the character's information sheet. The character-specific die levels up with the character and any equipped one will also be on the character's level.