diff --git a/.github/workflows/check-formatting.yml b/.github/workflows/check-formatting.yml
index 3ed5fa9..d73ca16 100644
--- a/.github/workflows/check-formatting.yml
+++ b/.github/workflows/check-formatting.yml
@@ -35,4 +35,4 @@ jobs:
       run: |
         python -m pip list
     - name: Check code format with pre-commit
-      uses: pre-commit/action@v3.0.0
+      uses: pre-commit/action@v3.0.1
diff --git a/.github/workflows/publish.yml b/.github/workflows/publish.yml
index 5eb6f54..38f5dfb 100644
--- a/.github/workflows/publish.yml
+++ b/.github/workflows/publish.yml
@@ -39,7 +39,7 @@ jobs:
       run: |
         python setup.py sdist bdist_wheel
     - name: Upload artifact
-      uses: actions/upload-artifact@v3
+      uses: actions/upload-artifact@v4
       with:
         name: ${{ env.ARTIFACT_NAME }}
         path: dist
@@ -53,12 +53,12 @@ jobs:
         uses: actions/checkout@v4
       - name: Build Changelog
         id: changelog
-        uses: mikepenz/release-changelog-builder-action@v3
+        uses: mikepenz/release-changelog-builder-action@v4
         env:
           GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
       - name: Create Release
         id: create_release
-        uses: softprops/action-gh-release@v1
+        uses: softprops/action-gh-release@v2
         with:
           body: ${{ steps.changelog.outputs.changelog }}
 
@@ -73,7 +73,7 @@ jobs:
       id-token: write  # IMPORTANT: this permission is mandatory for trusted publishing
     steps:
       - name: Download artifact
-        uses: actions/download-artifact@v3
+        uses: actions/download-artifact@v4
         with:
           name: ${{ env.ARTIFACT_NAME }}
           path: ${{ env.ARTIFACT_DIR }}
diff --git a/.github/workflows/random-test.yml b/.github/workflows/random-test.yml
index 18016ac..601e3a7 100644
--- a/.github/workflows/random-test.yml
+++ b/.github/workflows/random-test.yml
@@ -63,7 +63,7 @@ jobs:
         fi
     - name: Upload artifacts if artifacts directory is not empty
       if : ${{ steps.check_artifacts_empty.outputs.is_empty == 'false' }}
-      uses: actions/upload-artifact@v3
+      uses: actions/upload-artifact@v4
       with:
         name: artifacts-${{ github.run_number }}
         path: $ARTIFACTS_DIR
diff --git a/diff_binom_confint/_binom_confint.py b/diff_binom_confint/_binom_confint.py
index ef42061..884a4fd 100644
--- a/diff_binom_confint/_binom_confint.py
+++ b/diff_binom_confint/_binom_confint.py
@@ -315,7 +315,12 @@ def _compute_confidence_interval(
     elif confint_type.lower() == "witting":
         # stochastic, checked by seeting n_pos_tilde = n_positive
         # n_pos_tilde = n_positive
-        n_pos_tilde = n_positive + RNG.uniform(0, 1)
+        if n_positive == n_total:
+            n_pos_tilde = n_positive + RNG.uniform(0, 0.97)
+        elif n_positive == 0:
+            n_pos_tilde = n_positive + RNG.uniform(0.03, 1)
+        else:
+            n_pos_tilde = n_positive + RNG.uniform(0, 1)
         return ConfidenceInterval(
             _qbinom_abscont(_conf_level, n_total, n_pos_tilde) if n_positive != 0 else 0.0,
             _qbinom_abscont(1 - _conf_level, n_total, n_pos_tilde) if n_positive != n_total else 1.0,
diff --git a/test/test_bci.py b/test/test_bci.py
index c2d24ab..60ce0e8 100644
--- a/test/test_bci.py
+++ b/test/test_bci.py
@@ -200,6 +200,7 @@ def test_reported_error_cases():
     """
     error_cases = [
         {"n_positive": 2, "n_total": 2, "method": "witting", "conf_level": 0.975},  # issue #5
+        {"n_positive": 0, "n_total": 850, "method": "witting", "conf_level": 0.975},  # issue #5
     ]
 
     for case in error_cases: