diff --git a/qiskit/primitives/backend_estimator.py b/qiskit/primitives/backend_estimator.py
index 02af7a619fe..4b97b0ba183 100644
--- a/qiskit/primitives/backend_estimator.py
+++ b/qiskit/primitives/backend_estimator.py
@@ -39,7 +39,7 @@ def _run_circuits(
     circuits: QuantumCircuit | list[QuantumCircuit],
     backend: BackendV1 | BackendV2,
     **run_options,
-) -> tuple[Result, list[dict]]:
+) -> tuple[list[Result], list[dict]]:
     """Remove metadata of circuits and run the circuits on a backend.
     Args:
         circuits: The circuits
@@ -70,7 +70,7 @@ def _run_circuits(
     return result, metadata
 
 
-def _prepare_counts(results):
+def _prepare_counts(results: list[Result]):
     counts = []
     for res in results:
         count = res.get_counts()
@@ -351,7 +351,7 @@ def _preprocessing(self) -> list[tuple[QuantumCircuit, list[QuantumCircuit]]]:
         return preprocessed_circuits
 
     def _postprocessing(
-        self, result: Result, accum: list[int], metadata: list[dict]
+        self, result: list[Result], accum: list[int], metadata: list[dict]
     ) -> EstimatorResult:
         """
         Postprocessing for evaluation of expectation value using pauli rotation gates.
diff --git a/qiskit/primitives/backend_sampler.py b/qiskit/primitives/backend_sampler.py
index 932d7a52bd2..b06d552c2cc 100644
--- a/qiskit/primitives/backend_sampler.py
+++ b/qiskit/primitives/backend_sampler.py
@@ -158,7 +158,9 @@ def _call(
         result, _metadata = _run_circuits(bound_circuits, self._backend, **run_options)
         return self._postprocessing(result, bound_circuits)
 
-    def _postprocessing(self, result: Result, circuits: list[QuantumCircuit]) -> SamplerResult:
+    def _postprocessing(
+        self, result: list[Result], circuits: list[QuantumCircuit]
+    ) -> SamplerResult:
         counts = _prepare_counts(result)
         shots = sum(counts[0].values())
 
diff --git a/qiskit/primitives/base/base_primitive.py b/qiskit/primitives/base/base_primitive.py
index 436c3dd1f5c..b9daf0132a7 100644
--- a/qiskit/primitives/base/base_primitive.py
+++ b/qiskit/primitives/base/base_primitive.py
@@ -16,7 +16,6 @@
 
 from abc import ABC
 from collections.abc import Sequence
-from typing import Any
 
 import numpy as np
 
@@ -126,13 +125,13 @@ def _cross_validate_circuits_parameter_values(
                 )
 
 
-def _isint(obj: Any) -> bool:
+def _isint(obj: Sequence[Sequence[float]] | Sequence[float] | float) -> bool:
     """Check if object is int."""
     int_types = (int, np.integer)
     return isinstance(obj, int_types) and not isinstance(obj, bool)
 
 
-def _isreal(obj: Any) -> bool:
+def _isreal(obj: Sequence[Sequence[float]] | Sequence[float] | float) -> bool:
     """Check if object is a real number: int or float except ``±Inf`` and ``NaN``."""
     float_types = (float, np.floating)
     return _isint(obj) or isinstance(obj, float_types) and float("-Inf") < obj < float("Inf")