Index: lib/Analysis/BranchProbabilityInfo.cpp
===================================================================
--- lib/Analysis/BranchProbabilityInfo.cpp
+++ lib/Analysis/BranchProbabilityInfo.cpp
@@ -147,6 +147,16 @@
   if (TI->getNumSuccessors() == 1 || UnreachableEdges.empty())
     return false;
 
+  // If the terminator is an InvokeInst, check only the normal destination block
+  // as the unwind edge of InvokeInst is also very unlikely taken.
+  if (auto *II = dyn_cast<InvokeInst>(TI))
+    if (PostDominatedByUnreachable.count(II->getNormalDest())) {
+      PostDominatedByUnreachable.insert(BB);
+      // Return false here so that edge weights for InvokeInst could be decided
+      // in calcInvokeHeuristics().
+      return false;
+    }
+
   uint32_t UnreachableWeight =
     std::max(UR_TAKEN_WEIGHT / (unsigned)UnreachableEdges.size(), MIN_WEIGHT);
   for (SmallVectorImpl<unsigned>::iterator I = UnreachableEdges.begin(),
Index: test/Analysis/BranchProbabilityInfo/noreturn.ll
===================================================================
--- test/Analysis/BranchProbabilityInfo/noreturn.ll
+++ test/Analysis/BranchProbabilityInfo/noreturn.ll
@@ -77,3 +77,48 @@
 exit:
   ret i32 %b
 }
+
+@_ZTIi = external global i8*
+
+; CHECK-LABEL: throwSmallException
+; CHECK-NOT: invoke i32 @smallFunction
+define i32 @throwSmallException(i32 %idx, i32 %limit) #0 personality i8* bitcast (i32 (...)* @__gxx_personality_v0 to i8*) {
+entry:
+  %cmp = icmp sge i32 %idx, %limit
+  br i1 %cmp, label %if.then, label %if.end
+; CHECK: edge entry -> if.then probability is 0x00000800 / 0x80000000 = 0.00%
+; CHECK: edge entry -> if.end probability is 0x7ffff800 / 0x80000000 = 100.00% [HOT edge]
+
+if.then:                                          ; preds = %entry
+  %exception = call i8* @__cxa_allocate_exception(i64 1) #0
+  invoke i32 @smallFunction(i32 %idx)
+          to label %invoke.cont unwind label %lpad
+; CHECK: edge if.then -> invoke.cont probability is 0x7ffff800 / 0x80000000 = 100.00% [HOT edge]
+; CHECK: edge if.then -> lpad probability is 0x00000800 / 0x80000000 = 0.00%
+
+invoke.cont:                                      ; preds = %if.then
+  call void @__cxa_throw(i8* %exception, i8* bitcast (i8** @_ZTIi  to i8*), i8* null) #1
+  unreachable
+
+lpad:                                             ; preds = %if.then
+  %ll = landingpad { i8*, i32 }
+          cleanup
+  ret i32 %idx
+
+if.end:                                           ; preds = %entry
+  ret i32 %idx
+}
+
+@a = global i32 4
+define i32 @smallFunction(i32 %a) {
+entry:
+  %r = load volatile i32, i32* @a
+  ret i32 %r
+}
+
+attributes #0 = { nounwind }
+attributes #1 = { noreturn }
+
+declare i8* @__cxa_allocate_exception(i64)
+declare i32 @__gxx_personality_v0(...)
+declare void @__cxa_throw(i8*, i8*, i8*)