Fireball half damage on save

At the table

In D&D 5e, Fireball deals 8d6 fire damage on a failed Dexterity saving throw. On a success, the target takes half that damage, rounded down (same as halving each possible total with floor division).

Try it

In the playground, open this recipe in the playground and click Run. Output shows the full-damage distribution and the succeeded-save distribution side by side.

The script

↗output("failed_save", 8d6)
output("succeeded_save", 8d6 // 2)

• 8d6 expands to a summed pool—the usual fireball roll.
• // 2 applies integer (floor) division to every outcome of that total, matching “half damage, round down” for each roll result.
• 1d4 * 10 and similar expressions scale each outcome by a constant (d(4) * 10 after desugaring).

Use * when a die result is multiplied (e.g. bonus dice that count as tens). Use // whenever rules say to halve or divide damage and round down.

failed_save · DieRoll · mean 28.000

succeeded_save · DieRoll · mean 13.750