The Pool — any natural 1 succeeds

At the table

In James V. West’s The Pool, you roll a pool of d6. If any die shows a 1, the action succeeds; otherwise it fails. Pool size depends on how much you stake on the attempt.

Try it

In the playground, open this recipe in the playground and click Run. Output shows success probabilities for pool sizes 1d through 10d.

The script

↗for dice in range(1, 11):
    p = dice_pool(dice, 6).p_any(1)
    output("{}d".format(dice), p)

• dice_pool(n, 6) is n fair d6 not yet summed (or use nd6 when n is literal in a script).
• .p_any(1) is the chance that at least one die shows a 1. You can pass a face list (p_any([1])), a desugared range (p_any(5..6)), or omit the argument for a deterministic pool-length check.

Similar “any success die” rules: .p_any(8..) on a d10 pool for “any 8+”, .p_at_least(2, 5..) for “at least two fives or better”, or .p_none(1) for “no natural ones”. See API conventions.

1d · Prob

2d · Prob

3d · Prob

4d · Prob

5d · Prob

6d · Prob

7d · Prob

8d · Prob

9d · Prob

10d · Prob