diff --git a/bayes_opt/acquisition.py b/bayes_opt/acquisition.py
index 4c8c7191..0b4ba77c 100644
--- a/bayes_opt/acquisition.py
+++ b/bayes_opt/acquisition.py
@@ -99,13 +99,13 @@ def get_acquisition_params(self) -> dict[str, Any]:
         )
         raise NotImplementedError(error_msg)
 
-    def set_acquisition_params(self, **params) -> None:
+    def set_acquisition_params(self, params: dict[str, Any]) -> None:
         """
         Set the parameters of the acquisition function.
 
         Parameters
         ----------
-        **params : dict
+        params : dict
             The parameters of the acquisition function.
         """
         error_msg = (
@@ -553,7 +553,7 @@ def decay_exploration(self) -> None:
         ):
             self.kappa = self.kappa * self.exploration_decay
 
-    def get_acquisition_params(self) -> dict:
+    def get_acquisition_params(self) -> dict[str, Any]:
         """Get the current acquisition function parameters.
 
         Returns
@@ -567,7 +567,7 @@ def get_acquisition_params(self) -> dict:
             "exploration_decay_delay": self.exploration_decay_delay,
         }
 
-    def set_acquisition_params(self, params: dict) -> None:
+    def set_acquisition_params(self, params: dict[str, Any]) -> None:
         """Set the acquisition function parameters.
 
         Parameters
@@ -733,7 +733,7 @@ def decay_exploration(self) -> None:
         ):
             self.xi = self.xi * self.exploration_decay
 
-    def get_acquisition_params(self) -> dict:
+    def get_acquisition_params(self) -> dict[str, Any]:
         """Get the current acquisition function parameters.
 
         Returns
@@ -747,7 +747,7 @@ def get_acquisition_params(self) -> dict:
             "exploration_decay_delay": self.exploration_decay_delay,
         }
 
-    def set_acquisition_params(self, params: dict) -> None:
+    def set_acquisition_params(self, params: dict[str, Any]) -> None:
         """Set the acquisition function parameters.
 
         Parameters
@@ -922,7 +922,7 @@ def decay_exploration(self) -> None:
         ):
             self.xi = self.xi * self.exploration_decay
 
-    def get_acquisition_params(self) -> dict:
+    def get_acquisition_params(self) -> dict[str, Any]:
         """Get the current acquisition function parameters.
 
         Returns
@@ -936,7 +936,7 @@ def get_acquisition_params(self) -> dict:
             "exploration_decay_delay": self.exploration_decay_delay,
         }
 
-    def set_acquisition_params(self, params: dict) -> None:
+    def set_acquisition_params(self, params: dict[str, Any]) -> None:
         """Set the acquisition function parameters.
 
         Parameters
@@ -1147,7 +1147,7 @@ def suggest(
 
         return x_max
 
-    def get_acquisition_params(self) -> dict:
+    def get_acquisition_params(self) -> dict[str, Any]:
         """Get the current acquisition function parameters.
 
         Returns
@@ -1163,7 +1163,7 @@ def get_acquisition_params(self) -> dict:
             "rtol": self.rtol,
         }
 
-    def set_acquisition_params(self, params: dict) -> None:
+    def set_acquisition_params(self, params: dict[str, Any]) -> None:
         """Set the acquisition function parameters.
 
         Parameters
@@ -1318,7 +1318,7 @@ def suggest(
         idx = self._sample_idx_from_softmax_gains(random_state=random_state)
         return x_max[idx]
 
-    def get_acquisition_params(self) -> dict:
+    def get_acquisition_params(self) -> dict[str, Any]:
         """Get the current acquisition function parameters.
 
         Returns
@@ -1334,7 +1334,7 @@ def get_acquisition_params(self) -> dict:
             else None,
         }
 
-    def set_acquisition_params(self, params: dict) -> None:
+    def set_acquisition_params(self, params: dict[str, Any]) -> None:
         """Set the acquisition function parameters.
 
         Parameters
diff --git a/bayes_opt/bayesian_optimization.py b/bayes_opt/bayesian_optimization.py
index b454248e..35741693 100644
--- a/bayes_opt/bayesian_optimization.py
+++ b/bayes_opt/bayesian_optimization.py
@@ -328,7 +328,7 @@ def probe(self, params: ParamsType, lazy: bool = True) -> None:
                 self._space.keys, self._space.res()[-1], self._space.params_config, self.max
             )
 
-    def random_sample(self, n: int = 1) -> dict[str, float | NDArray[Float]]:
+    def random_sample(self, n: int = 1) -> list[dict[str, float | NDArray[Float]]]:
         """Generate a random sample of parameters from the target space.
 
         Parameters
@@ -442,13 +442,13 @@ def save_state(self, path: str | PathLike[str]) -> None:
         """
         random_state = None
         if self._random_state is not None:
-            state_tuple = self._random_state.get_state()
+            state_dict = self._random_state.get_state(legacy=False)
             random_state = {
-                "bit_generator": state_tuple[0],
-                "state": state_tuple[1].tolist(),
-                "pos": state_tuple[2],
-                "has_gauss": state_tuple[3],
-                "cached_gaussian": state_tuple[4],
+                "bit_generator": state_dict["bit_generator"],
+                "state": state_dict["state"]["key"].tolist(),
+                "pos": state_dict["state"]["pos"],
+                "has_gauss": state_dict["has_gauss"],
+                "cached_gaussian": state_dict["gauss"],
             }
 
         # Get constraint values if they exist