diff --git a/openquake/calculators/event_based_damage.py b/openquake/calculators/event_based_damage.py
index 673df6affa91..71847937d63c 100644
--- a/openquake/calculators/event_based_damage.py
+++ b/openquake/calculators/event_based_damage.py
@@ -78,8 +78,8 @@ def damage_from_gmfs(gmfslices, oqparam, dstore, monitor):
     return event_based_damage(df, oqparam, dstore, monitor)
 
 
-def _gen_d3(asset_df, gmf_df, crmodel, dparam):
-    # yields (aids, d3) triples
+def _gen_dd3(asset_df, gmf_df, crmodel, dparam):
+    # yields (aids, dd3) triples
     oq = crmodel.oqparam
     sec_sims = oq.secondary_simulations.items()
     for prob_field, num_sims in sec_sims:
@@ -97,19 +97,19 @@ def _gen_d3(asset_df, gmf_df, crmodel, dparam):
             number = assets['value-number']
         else:
             number = assets['value-number'] = U32(assets['value-number'])
-        d4 = numpy.zeros((L, A, E, dparam.Dc), F32)
+        dd4 = numpy.zeros((L, A, E, dparam.Dc), F32)
         D = dparam.D
         for lti, lt in enumerate(oq.loss_types):
             fractions = out[lt]
             if oq.float_dmg_dist:
-                d4[lti, :, :, :D] = fractions
+                dd4[lti, :, :, :D] = fractions
                 for a in range(A):
-                    d4[lti, a] *= number[a]
+                    dd4[lti, a] *= number[a]
             else:
                 # this is a performance distaster; for instance
                 # the Messina test in oq-risk-tests becomes 12x
                 # slower even if it has only 25_736 assets
-                d4[lti, :, :, :D] = dparam.rng.discrete_dmg_dist(
+                dd4[lti, :, :, :D] = dparam.rng.discrete_dmg_dist(
                     dparam.eids, fractions, number)
 
             # secondary perils and consequences
@@ -118,23 +118,27 @@ def _gen_d3(asset_df, gmf_df, crmodel, dparam):
                     for d in range(1, D):
                         # doing the mean on the secondary simulations
                         if oq.float_dmg_dist:
-                            d4[lti, a, :, d] *= probs
+                            dd4[lti, a, :, d] *= probs
                         else:
-                            d4[lti, a, :, d] *= dprobs
+                            dd4[lti, a, :, d] *= dprobs
 
         df = crmodel.tmap_df[crmodel.tmap_df.taxi == assets[0]['taxonomy']]
         if 'losses' in crmodel.get_consequences():
             loss_types = oq.total_loss_types
         else:
             loss_types = {lt: i for i, lt in enumerate(oq.loss_types)}
+        if L > 1:
+            # compose probabilities
+            dd3 = numpy.zeros((A, E, dparam.Dc), F32)
+            for a in range(A):
+                dd3[a] = general.pprod(dd4[:, a] / number[a], axis=0) * number[a]
+        else:
+            dd3 = dd4[0]
         csq = crmodel.compute_csq(
-            assets, d4[:, :, :, :D], df, loss_types, oq.time_event)
-        d3 = numpy.zeros((A, E, dparam.Dc), F32)
-        for li, lt in enumerate(oq.loss_types):
-            d3[:] += d4[li]
+            assets, dd4[:, :, :, :D], df, loss_types, oq.time_event)
         for name, values in csq.items():
-            d3[:, :, dparam.csqidx[name]] = values
-        yield aids, d3  # d3 has shape (A, E, Dc)
+            dd3[:, :, dparam.csqidx[name]] = values
+        yield aids, dd3  # dd3 has shape (A, E, Dc)
 
 
 def event_based_damage(df, oq, dstore, monitor):
@@ -157,12 +161,9 @@ def event_based_damage(df, oq, dstore, monitor):
     dmg_csq = crmodel.get_dmg_csq()
     csqidx = {dc: i + 1 for i, dc in enumerate(dmg_csq)}
     dmgcsq = zero_dmgcsq(len(assetcol), oq.R, crmodel)
-    _A, R, Dc = dmgcsq.shape
+    _A, _R, Dc = dmgcsq.shape
     D = Dc - len(crmodel.get_consequences())
-    if R > 1:
-        allrlzs = dstore['events']['rlz_id']
-    else:
-        allrlzs = U32([0])
+    rlzs = dstore['events']['rlz_id']
     with mon_risk:
         dddict = general.AccumDict(accum=numpy.zeros(Dc, F32))  # eid, kid
         for sid, asset_df in assetcol.to_dframe().groupby('site_id'):
@@ -172,29 +173,22 @@ def event_based_damage(df, oq, dstore, monitor):
                 continue
             oq = crmodel.oqparam
             eids = gmf_df.eid.to_numpy()
-            if R > 1:
-                rlzs = allrlzs[eids]
-            else:
-                rlzs = allrlzs
             if oq.secondary_simulations or not oq.float_dmg_dist:
                 rng = scientific.MultiEventRNG(
                     oq.master_seed, numpy.unique(eids))
             else:
                 rng = None
             dparam = Dparam(eids, aggids, csqidx, D, Dc, rng)
-            for aids, d3 in _gen_d3(asset_df, gmf_df, crmodel, dparam):
-                if R == 1:
-                    dmgcsq[aids, 0] += d3.sum(axis=1)
-                else:
-                    for e, rlz in enumerate(rlzs):
-                        dmgcsq[aids, rlz] += d3[:, e]
-                tot = d3.sum(axis=0)  # sum on the assets
+            for aids, dd3 in _gen_dd3(asset_df, gmf_df, crmodel, dparam):
+                for e, rlz in enumerate(rlzs[eids]):
+                    dmgcsq[aids, rlz] += dd3[:, e]
+                tot = dd3.sum(axis=0)  # sum on the assets
                 for e, eid in enumerate(eids):
                     dddict[eid, oq.K] += tot[e]
                     if oq.K:
                         for kids in dparam.aggids:
                             for a, aid in enumerate(aids):
-                                dddict[eid, kids[aid]] += d3[a, e]
+                                dddict[eid, kids[aid]] += dd3[a, e]
     try:
         [lt] = oq.loss_types
     except ValueError:
diff --git a/openquake/qa_tests_data/scenario_damage/case_21/expected/aggrisk-parent.csv b/openquake/qa_tests_data/scenario_damage/case_21/expected/aggrisk-parent.csv
index df4aefb7869b..8888ea4d174d 100644
--- a/openquake/qa_tests_data/scenario_damage/case_21/expected/aggrisk-parent.csv
+++ b/openquake/qa_tests_data/scenario_damage/case_21/expected/aggrisk-parent.csv
@@ -1,8 +1,8 @@
-#,,,,,,,,,"generated_by='OpenQuake engine 3.22.0-git03f37349ed', start_date='2024-10-23T10:42:23', checksum=2614000066, investigation_time=None, risk_investigation_time=None"
+#,,,,,,,,,"generated_by='OpenQuake engine 3.22.0-gitafc5cab7ae', start_date='2024-10-26T05:43:19', checksum=2614000066, investigation_time=None, risk_investigation_time=None"
 loss_type,parent_id,rlz_id,no_damage,slight,moderate,extensive,complete,non_operational_value,non_operational_ratio
 structural,A,0,9.66667E-01,0.00000E+00,0.00000E+00,0.00000E+00,1.00000E-01,1.00000E-01,1.00000E-01
 structural,A,1,9.33333E-01,0.00000E+00,0.00000E+00,0.00000E+00,2.00000E-01,2.00000E-01,2.00000E-01
 structural,B,0,1.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00
 structural,B,1,1.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00
-structural,E1,0,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,3.00000E+00,3.00000E+00,3.00000E+00
-structural,E1,1,0.00000E+00,0.00000E+00,0.00000E+00,0.00000E+00,3.00000E+00,3.00000E+00,3.00000E+00
+structural,E1,0,6.66667E-01,0.00000E+00,0.00000E+00,0.00000E+00,1.00000E+00,3.00000E+00,3.00000E+00
+structural,E1,1,6.66667E-01,0.00000E+00,0.00000E+00,0.00000E+00,1.00000E+00,3.00000E+00,3.00000E+00
diff --git a/openquake/qa_tests_data/scenario_damage/case_21/expected/aggrisk.csv b/openquake/qa_tests_data/scenario_damage/case_21/expected/aggrisk.csv
index ea9a960110dc..7916e63dd8f3 100644
--- a/openquake/qa_tests_data/scenario_damage/case_21/expected/aggrisk.csv
+++ b/openquake/qa_tests_data/scenario_damage/case_21/expected/aggrisk.csv
@@ -1,4 +1,4 @@
-#,,,,,,,,"generated_by='OpenQuake engine 3.22.0-git03f37349ed', start_date='2024-10-23T10:42:23', checksum=2614000066, investigation_time=None, risk_investigation_time=None"
+#,,,,,,,,"generated_by='OpenQuake engine 3.22.0-gitafc5cab7ae', start_date='2024-10-26T05:43:19', checksum=2614000066, investigation_time=None, risk_investigation_time=None"
 loss_type,rlz_id,no_damage,slight,moderate,extensive,complete,non_operational_value,non_operational_ratio
-structural,0,1.96667E+00,0.00000E+00,0.00000E+00,0.00000E+00,3.10000E+00,3.10000E+00,1.03333E+00
-structural,1,1.93333E+00,0.00000E+00,0.00000E+00,0.00000E+00,3.20000E+00,3.20000E+00,1.06667E+00
+structural,0,2.63333E+00,0.00000E+00,0.00000E+00,0.00000E+00,1.10000E+00,3.10000E+00,1.03333E+00
+structural,1,2.60000E+00,0.00000E+00,0.00000E+00,0.00000E+00,1.20000E+00,3.20000E+00,1.06667E+00
diff --git a/openquake/qa_tests_data/scenario_damage/case_22/expected/aggrisk.csv b/openquake/qa_tests_data/scenario_damage/case_22/expected/aggrisk.csv
index 6623321b7eb5..b746629fcff3 100644
--- a/openquake/qa_tests_data/scenario_damage/case_22/expected/aggrisk.csv
+++ b/openquake/qa_tests_data/scenario_damage/case_22/expected/aggrisk.csv
@@ -1,3 +1,3 @@
-#,,,,,,,"generated_by='OpenQuake engine 3.22.0-git03f37349ed', start_date='2024-10-23T10:42:25', checksum=2138001544, investigation_time=None, risk_investigation_time=None"
+#,,,,,,,"generated_by='OpenQuake engine 3.22.0-gitafc5cab7ae', start_date='2024-10-26T05:43:19', checksum=4025559538, investigation_time=None, risk_investigation_time=None"
 loss_type,no_damage,slight,moderate,extreme,complete,losses_value,losses_ratio
-structural,1.07656E+01,1.41803E+00,1.39786E+00,9.49061E-01,8.93820E+00,1.84217E+04,1.08299E-01
+structural,1.17053E+01,1.41803E+00,1.39786E+00,9.49061E-01,6.11920E+00,1.84217E+04,1.08299E-01
diff --git a/openquake/qa_tests_data/scenario_damage/case_22/expected/dmg.csv b/openquake/qa_tests_data/scenario_damage/case_22/expected/dmg.csv
index 749ed890ad43..dae02645cb9b 100644
--- a/openquake/qa_tests_data/scenario_damage/case_22/expected/dmg.csv
+++ b/openquake/qa_tests_data/scenario_damage/case_22/expected/dmg.csv
@@ -1,17 +1,17 @@
-#,,,,,,,,,,"generated_by='OpenQuake engine 3.22.0-gita2d5dedadb', start_date='2024-10-25T07:10:31', checksum=4025559538"
+#,,,,,,,,,,"generated_by='OpenQuake engine 3.22.0-gitafc5cab7ae', start_date='2024-10-26T05:43:19', checksum=4025559538"
 asset_id,NAME_1,taxonomy,lon,lat,no_damage,slight,moderate,extreme,complete,losses
-a1,a,Wood1,83.31382,29.46117,9.267137E-01,4.338550E-02,2.389134E-02,4.983470E-03,1.026009E-03,1.492097E+02
-a2,a,Wood1,83.31382,29.23617,9.323701E-01,4.003692E-02,2.204736E-02,4.598836E-03,9.468192E-04,1.376935E+02
-a3,a,Wood1,83.53882,29.08617,8.998597E-01,5.549773E-02,3.362454E-02,8.460128E-03,2.557828E-03,2.299460E+02
+a1,a,Wood1,83.31382,29.46117,9.267137E-01,4.338550E-02,2.389134E-02,4.983467E-03,1.026009E-03,1.492097E+02
+a2,a,Wood1,83.31382,29.23617,9.323701E-01,4.003692E-02,2.204736E-02,4.598836E-03,9.468218E-04,1.376935E+02
+a3,a,Wood1,83.53882,29.08617,8.998597E-01,5.549773E-02,3.362454E-02,8.460126E-03,2.557830E-03,2.299460E+02
 a4,a,Wood1,80.68882,28.93617,1.000000E+00,0.000000E+00,0.000000E+00,0.000000E+00,0.000000E+00,0.000000E+00
-a5,a,Wood1,83.53882,29.01117,8.605580E-01,7.386525E-02,4.770378E-02,1.326894E-02,4.604037E-03,3.436947E+02
+a5,a,Wood1,83.53882,29.01117,8.605580E-01,7.386524E-02,4.770378E-02,1.326893E-02,4.604037E-03,3.436947E+02
 a6,a,Wood1,81.13882,28.78617,1.000000E+00,0.000000E+00,0.000000E+00,0.000000E+00,0.000000E+00,0.000000E+00
-a7,a,Wood1,83.98882,28.48617,7.521410E-01,8.566735E-02,8.970005E-02,4.155788E-02,3.093375E-02,9.213160E+02
-a8,a,Concrete1,83.23882,29.38617,4.697937E-01,2.247916E-02,3.195053E-02,3.080165E-02,4.449750E-01,5.401368E+02
-a9,a,Concrete1,83.01382,29.08617,4.619936E-01,2.497276E-02,3.440397E-02,3.081745E-02,4.478122E-01,5.061439E+02
-a10,a,Concrete1,83.31382,28.71117,1.616082E-01,4.471088E-02,6.344895E-02,6.095122E-02,6.692807E-01,1.065684E+03
-a11,a,Concrete1,86.91382,27.73617,6.076256E-01,1.408595E-02,1.940564E-02,1.738266E-02,3.415002E-01,2.854917E+02
-a12,a,Concrete1,83.16382,29.31117,5.451100E-01,2.104819E-02,2.899724E-02,2.597436E-02,3.788701E-01,4.266012E+02
+a7,a,Wood1,83.98882,28.48617,7.524759E-01,8.566736E-02,8.970005E-02,4.155788E-02,3.059878E-02,9.213160E+02
+a8,a,Concrete1,83.23882,29.38617,5.814353E-01,2.247916E-02,3.195053E-02,3.080165E-02,3.333333E-01,5.401368E+02
+a9,a,Concrete1,83.01382,29.08617,5.764725E-01,2.497276E-02,3.440397E-02,3.081745E-02,3.333333E-01,5.061439E+02
+a10,a,Concrete1,83.31382,28.71117,4.975556E-01,4.471088E-02,6.344895E-02,6.095122E-02,3.333333E-01,1.065684E+03
+a11,a,Concrete1,86.91382,27.73617,6.157925E-01,1.408595E-02,1.940564E-02,1.738266E-02,3.333333E-01,2.854917E+02
+a12,a,Concrete1,83.16382,29.31117,5.906469E-01,2.104818E-02,2.899724E-02,2.597436E-02,3.333333E-01,4.266012E+02
 a13,a,Concrete1,80.61382,28.93617,1.000000E+00,0.000000E+00,0.000000E+00,0.000000E+00,0.000000E+00,0.000000E+00
-a14,a,Concrete1,83.91382,29.01117,1.478413E-01,4.692676E-02,7.078027E-02,7.755719E-02,6.568946E-01,1.534645E+03
+a14,a,Concrete1,83.91382,29.01117,4.714025E-01,4.692676E-02,7.078026E-02,7.755719E-02,3.333333E-01,1.534645E+03
 a15,a,Concrete1,82.03882,30.28617,1.000000E+00,0.000000E+00,0.000000E+00,0.000000E+00,0.000000E+00,0.000000E+00
diff --git a/openquake/qa_tests_data/scenario_damage/case_4b/expected/risk_by_event.csv b/openquake/qa_tests_data/scenario_damage/case_4b/expected/risk_by_event.csv
index eec36965c2ce..261d9a6acc1a 100644
--- a/openquake/qa_tests_data/scenario_damage/case_4b/expected/risk_by_event.csv
+++ b/openquake/qa_tests_data/scenario_damage/case_4b/expected/risk_by_event.csv
@@ -1,202 +1,202 @@
-#,,,,,,"generated_by='OpenQuake engine 3.22.0-git2c7171503a', start_date='2024-10-23T08:10:49', checksum=800090399"
+#,,,,,,"generated_by='OpenQuake engine 3.22.0-gitafc5cab7ae', start_date='2024-10-26T05:43:19', checksum=800090399"
 event_id,ds1,ds2,ds3,ds4,losses,loss_type
-0,4.56471E+00,3.97014E+00,1.83932E+00,1.23468E+00,2.92464E+04,structural+nonstructural+contents
-1,3.78555E+00,3.99891E+00,2.27961E+00,1.87806E+00,3.49840E+04,structural+nonstructural+contents
-2,3.99649E+00,3.25142E+00,1.38840E+00,9.29097E-01,2.25493E+04,structural+nonstructural+contents
-3,4.67034E+00,4.44463E+00,2.22960E+00,1.64846E+00,3.51891E+04,structural+nonstructural+contents
-4,2.96439E+00,2.87672E+00,2.29894E+00,2.16591E+00,3.47958E+04,structural+nonstructural+contents
-5,4.16424E+00,3.93676E+00,2.28767E+00,1.80375E+00,3.47760E+04,structural+nonstructural+contents
-6,4.33428E+00,3.27104E+00,1.24505E+00,7.01225E-01,2.06610E+04,structural+nonstructural+contents
-7,4.10123E+00,3.82486E+00,2.22476E+00,1.75856E+00,3.38959E+04,structural+nonstructural+contents
-8,3.19830E+00,1.51812E+00,5.30746E-01,1.90561E-01,9.12911E+03,structural+nonstructural+contents
-9,3.69002E+00,2.91044E+00,1.89384E+00,2.25113E+00,3.42627E+04,structural+nonstructural+contents
-10,4.16409E+00,4.31831E+00,2.74886E+00,2.14789E+00,4.02135E+04,structural+nonstructural+contents
-11,4.31869E+00,3.82274E+00,1.69907E+00,1.17636E+00,2.72121E+04,structural+nonstructural+contents
-12,3.98882E+00,2.67083E+00,9.35133E-01,4.55939E-01,1.56729E+04,structural+nonstructural+contents
-13,3.84083E+00,4.28382E+00,3.20978E+00,2.61499E+00,4.54335E+04,structural+nonstructural+contents
-14,4.02056E+00,2.62732E+00,9.43453E-01,4.53660E-01,1.59905E+04,structural+nonstructural+contents
-15,3.93363E+00,2.81913E+00,1.00320E+00,5.27144E-01,1.71288E+04,structural+nonstructural+contents
-16,4.22898E+00,2.84188E+00,1.04027E+00,5.32502E-01,1.77373E+04,structural+nonstructural+contents
-17,3.43644E+00,2.55912E+00,1.11248E+00,7.12561E-01,1.82864E+04,structural+nonstructural+contents
-18,3.95394E+00,3.10866E+00,1.21583E+00,7.17786E-01,1.97939E+04,structural+nonstructural+contents
-19,3.78303E+00,3.59828E+00,3.06413E+00,3.82660E+00,5.21927E+04,structural+nonstructural+contents
-20,4.21063E+00,3.97425E+00,2.16335E+00,1.66897E+00,3.34291E+04,structural+nonstructural+contents
-21,4.04381E+00,2.51479E+00,8.93471E-01,4.06335E-01,1.53978E+04,structural+nonstructural+contents
-22,3.08309E+00,1.35982E+00,4.70649E-01,1.34666E-01,7.65791E+03,structural+nonstructural+contents
-23,4.52604E+00,4.54572E+00,2.48319E+00,1.89412E+00,3.77823E+04,structural+nonstructural+contents
-24,3.44004E+00,2.22424E+00,7.61186E-01,3.65890E-01,1.27965E+04,structural+nonstructural+contents
-25,3.57438E+00,2.80704E+00,1.09459E+00,6.42623E-01,1.79738E+04,structural+nonstructural+contents
-26,3.67387E+00,2.49779E+00,1.03626E+00,6.66920E-01,1.76318E+04,structural+nonstructural+contents
-27,3.14773E+00,2.38655E+00,1.14091E+00,9.41521E-01,1.93165E+04,structural+nonstructural+contents
-28,3.77811E+00,2.40330E+00,8.84312E-01,4.16287E-01,1.49655E+04,structural+nonstructural+contents
-29,3.91515E+00,2.97813E+00,1.34913E+00,8.52393E-01,2.12450E+04,structural+nonstructural+contents
-30,3.72925E+00,3.17191E+00,1.48762E+00,1.01444E+00,2.32656E+04,structural+nonstructural+contents
-31,4.17419E+00,3.16302E+00,1.38764E+00,8.59655E-01,2.21102E+04,structural+nonstructural+contents
-32,3.70373E+00,3.12065E+00,1.34530E+00,8.74846E-01,2.17089E+04,structural+nonstructural+contents
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diff --git a/openquake/qa_tests_data/scenario_damage/case_7/expected/dmg_by_asset.csv b/openquake/qa_tests_data/scenario_damage/case_7/expected/dmg_by_asset.csv
index bab46d6b8ea4..bab44c408abb 100644
--- a/openquake/qa_tests_data/scenario_damage/case_7/expected/dmg_by_asset.csv
+++ b/openquake/qa_tests_data/scenario_damage/case_7/expected/dmg_by_asset.csv
@@ -1,3 +1,3 @@
-#,,,,,,,,"generated_by='OpenQuake engine 3.22.0-git996d4e044a', start_date='2024-10-23T08:31:14', checksum=1335928015"
+#,,,,,,,,"generated_by='OpenQuake engine 3.22.0-gitafc5cab7ae', start_date='2024-10-26T05:43:19', checksum=1335928015"
 asset_id,taxonomy,lon,lat,no_damage,ds1,ds2,ds3,ds4
-a1,tax1,-122.00000,38.11300,2.166667E-01,2.400000E-01,2.300000E-01,1.833333E-01,1.300000E-01
+a1,tax1,-122.00000,38.11300,3.400000E-01,1.933333E-01,2.000000E-01,1.600000E-01,1.066667E-01