Third gear dice for Formula Dé.

Definition

Format

max(rdn((1.3*1d4)+3.4),1d2+3)

Named Values

none

Description

The third gear dice for Formula Dé is a eight sided die labeled 4, 5, 6, 6, 7, 7, 8, 8.

This is the Formula Dé's most complex die to reproduce. The expression used does as follow:

• We start with a d4 multiplied by 1.3 (1.3, 2.6, 3.9, 5.2)
• Add 3.4 to this value (4.7, 6, 7.3, 8.6)
• Round down (4, 6, 7, 8)
• Take the larger value between the one just computed and 1d2+3 (4,5).

The last step mean that if the computed value is 6, 7 o 8, it does not change. If the first outcome is 4, it can become 4 or 5.
So we have 1 chance out of 8 to obtain 4 or 5, and 1 chance out of 4 to obtain 6, 7 or 8, as required by the third gear die.

History

Supported since Quick Dice Roller 1.2.0

See also

• How To
• Maximum
• Round down