The Wild Magic Sorcerer’s signature chaos comes from a small chance of a surge on every spell — but how likely is a surge after a string of safe casts? This calculator gives the per-cast chance under both the standard rule and the popular escalating-DC house rule, plus the cumulative probability that a surge has already struck.
How it works
Under the standard rule a surge triggers on a natural 1, a flat 5 percent per
qualifying cast. The chance that no surge happens across n independent casts,
and the cumulative chance of at least one, are:
P(no surge in n) = (1 − p) ^ n
P(at least one) = 1 − (1 − p) ^ n
For the escalating house rule, the surge range grows each cast without a surge —
surge on a 1, then on 1–2, then 1–3, and so on — so the per-cast chance is
k / 20 on the k-th cast of the streak, and the cumulative no-surge chance is the
product of each (1 − k/20).
Example and tips
Under the flat 5 percent rule, after 10 leveled casts the cumulative chance a
surge has fired is 1 − 0.95^10 ≈ 40 percent; it reaches about 50 percent around
14 casts. Under the escalating rule, the streak rarely survives long — by the time
the range is 1–10 the per-cast chance is already 50 percent. Reset your streak
counter to zero each time a surge actually triggers, and count only 1st-level and
higher sorcerer spells.