Mixed dice pools (`+`)

At the table

Some rules roll different dice in one throw and then compare individual results—classic “roll 1d12 and 2d6, take the highest.” That is one pool of three dice, not the sum of a d12 total plus a 2d6 total.

Try it

Copy the script into the playground editor and click Run.

The script

↗pool = dice_pool(1, 12) + dice_pool(2, 6)
output("highest", pool.order_stat(1))
output("pool_sum", pool.sum())
output("same_as_three_d6_highest", dice_pool(3, 6).order_stat(1))

highest · DieRoll · mean 7.229

outcome	%	frac	X/432
1	0.23	1/432	1
2	1.62	7/432	7
3	4.40	19/432	19
4	8.56	37/432	37
5	14.1	61/432	61
6	21.1	91/432	91
7	8.33	1/12	36
8	8.33	1/12	36
9	8.33	1/12	36
10	8.33	1/12	36
11	8.33	1/12	36
12	8.33	1/12	36

pool_sum · DieRoll · mean 13.500

outcome	%	frac	X/432
3	0.23	1/432	1
4	0.69	1/144	3
5	1.39	1/72	6
6	2.31	5/216	10
7	3.47	5/144	15
8	4.86	7/144	21
9	6.02	13/216	26
10	6.94	5/72	30
11	7.64	11/144	33
12	8.10	35/432	35
13	8.33	1/12	36
14	8.33	1/12	36
15	8.10	35/432	35
16	7.64	11/144	33
17	6.94	5/72	30
18	6.02	13/216	26
19	4.86	7/144	21
20	3.47	5/144	15
21	2.31	5/216	10
22	1.39	1/72	6
23	0.69	1/144	3
24	0.23	1/432	1

same_as_three_d6_highest · DieRoll · mean 4.958

outcome	%	frac	X/432
1	0.46	1/216	2
2	3.24	7/216	14
3	8.80	19/216	38
4	17.1	37/216	74
5	28.2	61/216	122
6	42.1	91/216	182

Mixed dice pools (+)

At the table

Try it

The script

Mixed dice pools (`+`)