Suppose you are playing a spellcaster in your favorite tabletop role-playing game and are in the midst of battle. You are planning to attack an enemy, but are debating between the following two spells: Snilloc's Snowball Swarm: A flurry of magic snowballs erupts from a point you choose, dealing 3d6 cold damage to the enemy. This means you must roll 3 six-sided dice to determine the damage dealt to the enemy. Thunderwave: A wave of thunderous force sweeps out from you, dealing 2d8 thunder damage to the enemy. This means you must roll 2 eight-sided dice to determine the damage dealt to the enemy. Imagine that all of your six-sided dice (d6's) are indistinguishable from one another, and that the same is true for all of your eight-sided dice (d8's). How many possible results (i.e. "states") are there for the 3d6 roll (i.e. the "system") for Snilloc's Snowball Swarm? How many possible results are there for the 2d8 roll for Thunderwave? Be sure to explain your answers. For Snilloc's Snowball Swarm, which result has the greatest entropy (i.e. the greatest number of "microstates")? Which has the lowest entropy? How about the results for Thunderwave? Be sure to explain your answers. With respect only to the damage dealt, which spell is the better choice to use? Why?
Suppose you are playing a spellcaster in your favorite tabletop role-playing game and are in the midst of battle. You are planning to attack an enemy, but are debating between the following two spells:
- Snilloc's Snowball Swarm: A flurry of magic snowballs erupts from a point you choose, dealing 3d6 cold damage to the enemy. This means you must roll 3 six-sided dice to determine the damage dealt to the enemy.
- Thunderwave: A wave of thunderous force sweeps out from you, dealing 2d8 thunder damage to the enemy. This means you must roll 2 eight-sided dice to determine the damage dealt to the enemy.
Imagine that all of your six-sided dice (d6's) are indistinguishable from one another, and that the same is true for all of your eight-sided dice (d8's). How many possible results (i.e. "states") are there for the 3d6 roll (i.e. the "system") for Snilloc's Snowball Swarm? How many possible results are there for the 2d8 roll for Thunderwave? Be sure to explain your answers.
For Snilloc's Snowball Swarm, which result has the greatest entropy (i.e. the greatest number of "microstates")? Which has the lowest entropy? How about the results for Thunderwave? Be sure to explain your answers.
With respect only to the damage dealt, which spell is the better choice to use? Why?
Step by step
Solved in 2 steps with 1 images