diff --git a/lib_bam/std.ml b/lib_bam/std.ml
index 77f4fe9..c0e4318 100644
--- a/lib_bam/std.ml
+++ b/lib_bam/std.ml
@@ -257,14 +257,14 @@ let oneof : ?shrinker:int Shrinker.t -> (int * 'a Gen.t) list -> 'a Gen.t =
     raise
     @@ invalid_arg
          "[Std.oneof] was called with a weighted_list whose weights sum is 0." ;
-  let* i = int ?shrinker ~min:0 ~max:total () in
+  let* i = int ?shrinker ~min:0 ~max:(total - 1) () in
   List.fold_left
     (fun (acc, gen') (weight, gen) ->
       match gen' with
       | Some gen ->
           (acc, Some gen)
       | None ->
-          if i <= acc then (acc, Some gen) else (acc + weight, None) )
+          if i < acc + weight then (acc, Some gen) else (acc + weight, None) )
     (0, None) weighted_list
   |> snd
   |> function None -> assert false | Some gen -> gen
diff --git a/lib_bam/std.mli b/lib_bam/std.mli
index 6407cdd..04f3bcb 100644
--- a/lib_bam/std.mli
+++ b/lib_bam/std.mli
@@ -118,7 +118,7 @@ val crunch : int -> 'a t -> 'a t
 
 val int : ?shrinker:int Shrinker.t -> ?min:int -> ?max:int -> unit -> int t
 (** [int ?shrinker ?(min=0) ?(max=Int.max_int) ()] is a generator for
-    integers. [min] is inclusive while [max] is exclusive.
+    integers. Bounds are inclusive.
 
     Default strategy is {!constructor:Shrinker.Int}[0].
  *)
@@ -126,7 +126,7 @@ val int : ?shrinker:int Shrinker.t -> ?min:int -> ?max:int -> unit -> int t
 val int32 :
   ?shrinker:int32 Shrinker.t -> ?min:int32 -> ?max:int32 -> unit -> int32 t
 (** [int ?shrinker ?(min=0) ?(max=Int.max_int) ()] is a generator for
-    integers. [min] is inclusive while [max] is exclusive.
+    integers. Bounds are inclusive.
 
     Default strategy is {!constructor:Shrinker.Int}[0].
  *)
@@ -134,7 +134,7 @@ val int32 :
 val int64 :
   ?shrinker:int64 Shrinker.t -> ?min:int64 -> ?max:int64 -> unit -> int64 t
 (** [int ?shrinker ?(min=0) ?(max=Int.max_int) ()] is a generator for
-    integers. [min] is inclusive while [max] is exclusive.
+    integers. Bounds are inclusive.
 
     Default strategy is {!constructor:Shrinker.Int}[0].
  *)
@@ -142,7 +142,7 @@ val int64 :
 val float :
   ?shrinker:float Shrinker.t -> ?min:float -> ?max:float -> unit -> float t
 (** [float ?shrinker ?(min=0.) ?(max=Float.max_float) ()] generates
-    integers. [min] is inclusive while [max] is exclusive.
+    integers. Bounds are inclusive.
 
     Default strategy is {!constructor:Shrinker.Float}[0.].
  *)
diff --git a/test/expected/std.ml/std oneof.out b/test/expected/std.ml/std oneof.out
new file mode 100644
index 0000000..3d64d84
--- /dev/null
+++ b/test/expected/std.ml/std oneof.out	
@@ -0,0 +1 @@
+1 1 2 4 5 5 5 6 7 7 8 9 9 10 103 124 124 134 135 135 160 161 161 175 1461 1913 4545 4684 4968 9349
diff --git a/test/main.ml b/test/main.ml
index ac7ae4e..6e8ff9c 100644
--- a/test/main.ml
+++ b/test/main.ml
@@ -1,3 +1,8 @@
 open Tezt
 
-let () = Tree.register () ; Gen.register () ; Pbt.register () ; Test.run ()
+let () =
+  Tree.register () ;
+  Gen.register () ;
+  Std.register () ;
+  Pbt.register () ;
+  Test.run ()
diff --git a/test/std.ml b/test/std.ml
new file mode 100644
index 0000000..757cea5
--- /dev/null
+++ b/test/std.ml
@@ -0,0 +1,38 @@
+open Tezt_bam
+
+let std_int_range_inclusive_bounds () =
+  Test.register ~__FILE__ ~title:"std int range inclusive bounds"
+    ~tags:["std"; "int"; "range"]
+  @@ fun () ->
+  let values =
+    Seq.ints 0 |> Seq.take 10_000
+    |> Seq.map (fun i ->
+           let gen = Bam.Std.int ~min:0 ~max:10 () in
+           Bam.Gen.run gen (Bam.Gen.Random.make [|i|]) |> Bam.Tree.root )
+    |> List.of_seq |> List.sort_uniq compare
+  in
+  let expected = List.init 11 Fun.id in
+  if values = expected then Lwt.return_unit
+  else Test.fail "Did not draw all the integers in the interval"
+
+let std_oneof () =
+  Regression.register ~__FILE__ ~title:"std oneof" ~tags:["std"; "oneof"]
+  @@ fun () ->
+  let values =
+    Seq.ints 0 |> Seq.take 30
+    |> Seq.map (fun i ->
+           let small_gen = Bam.Std.int ~min:0 ~max:10 () in
+           let medium_gen = Bam.Std.int ~min:100 ~max:200 () in
+           let large_gen = Bam.Std.int ~min:1000 ~max:10_000 () in
+           let gen =
+             Bam.Std.oneof [(3, small_gen); (2, medium_gen); (1, large_gen)]
+           in
+           Bam.Gen.run gen (Bam.Gen.Random.make [|i|]) |> Bam.Tree.root )
+    |> List.of_seq |> List.sort compare
+  in
+  let str = values |> List.map string_of_int |> String.concat " " in
+  Regression.capture str ; Lwt.return_unit
+
+let register () =
+  std_int_range_inclusive_bounds () ;
+  std_oneof ()
diff --git a/tezt-bam.opam b/tezt-bam.opam
index aa1647e..73e947d 100644
--- a/tezt-bam.opam
+++ b/tezt-bam.opam
@@ -14,7 +14,7 @@ depends: [
   "dune" {>= "3.7"}
   "tezt"
   "bam"
-  "mtime"
+  "mtime" {>= "2.0"}
   "odoc" {with-doc}
 ]
 build: [