diff --git a/_includes/coin_problem.md b/_includes/coin_problem.md
index 8063c218ac1..539b1acee8a 100644
--- a/_includes/coin_problem.md
+++ b/_includes/coin_problem.md
@@ -205,7 +205,7 @@ def compute(log_probs: np.ndarray) -> None:
log_probs[0, 0, 0, 0] = 0
# Loop over all time indices, starting from the first coin clip.
for t in range(1, N + 1):
- # Since we know Z_t or Y_t > t, we only need to compute probabilities
+ # Since we know Z_t <= t and Y_t <= t, we only need to compute probabilities
# for values up to t.
for a in range(t + 1):
for b in range(t + 1):
@@ -246,7 +246,7 @@ compute(log_probs=log_probs)
compute(log_probs)
```
- 5.11 ms ± 116 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)
+ 5.11 ms ± 104 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)
### Joint Probability of t=100
@@ -304,7 +304,7 @@ render_plotly_html(
+