diff --git a/library/core/src/random.rs b/library/core/src/random.rs
index 06f4f30efe2b5..7275b3c203b5c 100644
--- a/library/core/src/random.rs
+++ b/library/core/src/random.rs
@@ -4,13 +4,13 @@ use crate::ops::RangeFull;
 
 /// A source of randomness.
 #[unstable(feature = "random", issue = "130703")]
-pub trait RandomSource {
+pub trait Rng {
     /// Fills `bytes` with random bytes.
     ///
     /// Note that calling `fill_bytes` multiple times is not equivalent to calling `fill_bytes` once
-    /// with a larger buffer. A `RandomSource` is allowed to return different bytes for those two
-    /// cases. For instance, this allows a `RandomSource` to generate a word at a time and throw
-    /// part of it away if not needed.
+    /// with a larger buffer. An `Rng` is allowed to return different bytes for those two cases. For
+    /// instance, this allows an `Rng` to generate a word at a time and throw part of it away if not
+    /// needed.
     fn fill_bytes(&mut self, bytes: &mut [u8]);
 }
 
@@ -18,17 +18,17 @@ pub trait RandomSource {
 #[unstable(feature = "random", issue = "130703")]
 pub trait Distribution<T> {
     /// Samples a random value from the distribution, using the specified random source.
-    fn sample(&self, source: &mut (impl RandomSource + ?Sized)) -> T;
+    fn sample(&self, source: &mut (impl Rng + ?Sized)) -> T;
 }
 
 impl<T, DT: Distribution<T>> Distribution<T> for &DT {
-    fn sample(&self, source: &mut (impl RandomSource + ?Sized)) -> T {
+    fn sample(&self, source: &mut (impl Rng + ?Sized)) -> T {
         (*self).sample(source)
     }
 }
 
 impl Distribution<bool> for RangeFull {
-    fn sample(&self, source: &mut (impl RandomSource + ?Sized)) -> bool {
+    fn sample(&self, source: &mut (impl Rng + ?Sized)) -> bool {
         let byte: u8 = RangeFull.sample(source);
         byte & 1 == 1
     }
@@ -37,7 +37,7 @@ impl Distribution<bool> for RangeFull {
 macro_rules! impl_primitive {
     ($t:ty) => {
         impl Distribution<$t> for RangeFull {
-            fn sample(&self, source: &mut (impl RandomSource + ?Sized)) -> $t {
+            fn sample(&self, source: &mut (impl Rng + ?Sized)) -> $t {
                 let mut bytes = (0 as $t).to_ne_bytes();
                 source.fill_bytes(&mut bytes);
                 <$t>::from_ne_bytes(bytes)
diff --git a/library/std/src/random.rs b/library/std/src/random.rs
index 8274060e5cedf..d40cfebbabcfe 100644
--- a/library/std/src/random.rs
+++ b/library/std/src/random.rs
@@ -5,7 +5,7 @@ pub use core::random::*;
 
 use crate::sys::random as sys;
 
-/// The default random source.
+/// The system random number generator.
 ///
 /// This asks the system for random data suitable for cryptographic purposes
 /// such as key generation. If security is a concern, consult the platform
@@ -16,7 +16,7 @@ use crate::sys::random as sys;
 /// security is not a concern,  consider using an alternative random number
 /// generator (potentially seeded from this one).
 ///
-/// If you need to fill a buffer with random bytes, use `DefaultRandomSource.fill_bytes(&mut buf)`.
+/// If you need to fill a buffer with random bytes, use `SystemRng.fill_bytes(&mut buf)`.
 ///
 /// # Underlying sources
 ///
@@ -59,10 +59,10 @@ use crate::sys::random as sys;
 #[doc(alias = "getrandom", alias = "getentropy", alias = "arc4random")]
 #[derive(Default, Debug, Clone, Copy)]
 #[unstable(feature = "random", issue = "130703")]
-pub struct DefaultRandomSource;
+pub struct SystemRng;
 
 #[unstable(feature = "random", issue = "130703")]
-impl RandomSource for DefaultRandomSource {
+impl Rng for SystemRng {
     fn fill_bytes(&mut self, bytes: &mut [u8]) {
         sys::fill_bytes(bytes)
     }
@@ -70,9 +70,9 @@ impl RandomSource for DefaultRandomSource {
 
 /// Generates a random value from a distribution, using the default random source.
 ///
-/// This is a convenience function for `dist.sample(&mut DefaultRandomSource)` and will sample
-/// according to the same distribution as the underlying [`Distribution`] trait implementation. See
-/// [`DefaultRandomSource`] for more information about how randomness is sourced.
+/// This is a convenience function for `dist.sample(&mut SystemRng)` and will sample according to
+/// the same distribution as the underlying [`Distribution`] trait implementation. See [`SystemRng`]
+/// for more information about how randomness is sourced.
 ///
 /// # Examples
 ///
@@ -95,5 +95,5 @@ impl RandomSource for DefaultRandomSource {
 /// [version 4/variant 1 UUID]: https://en.wikipedia.org/wiki/Universally_unique_identifier#Version_4_(random)
 #[unstable(feature = "random", issue = "130703")]
 pub fn random<T>(dist: impl Distribution<T>) -> T {
-    dist.sample(&mut DefaultRandomSource)
+    dist.sample(&mut SystemRng)
 }
diff --git a/library/std/src/sys/random/arc4random.rs b/library/std/src/sys/random/arc4random.rs
index e1957bceb9002..cb3ac96fd7c51 100644
--- a/library/std/src/sys/random/arc4random.rs
+++ b/library/std/src/sys/random/arc4random.rs
@@ -3,11 +3,11 @@
 //! Contrary to its name, `arc4random` doesn't actually use the horribly-broken
 //! RC4 cypher anymore, at least not on modern systems, but rather something
 //! like ChaCha20 with continual reseeding from the OS. That makes it an ideal
-//! source of large quantities of cryptographically secure data, which is exactly
-//! what we need for `DefaultRandomSource`. Unfortunately, it's not available
-//! on all UNIX systems, most notably Linux (until recently, but it's just a
-//! wrapper for `getrandom`. Since we need to hook into `getrandom` directly
-//! for `HashMap` keys anyway, we just keep our version).
+//! source of large quantities of cryptographically secure data, which is
+//! exactly what we need for `SystemRng`. Unfortunately, it's not available on
+//! all UNIX systems, most notably Linux (until recently, but it's just a
+//! wrapper for `getrandom`. Since we need to hook into `getrandom` directly for
+//! `HashMap` keys anyway, we just keep our version).
 
 #[cfg(not(any(
     target_os = "haiku",
diff --git a/library/std/src/sys/random/linux.rs b/library/std/src/sys/random/linux.rs
index a5b790a1db42c..9b6d16e196ac1 100644
--- a/library/std/src/sys/random/linux.rs
+++ b/library/std/src/sys/random/linux.rs
@@ -23,11 +23,11 @@
 //!
 //! One additional consideration to make is that the non-blocking pool is not
 //! always initialized during early boot. We want the best quality of randomness
-//! for the output of `DefaultRandomSource` so we simply wait until it is
-//! initialized. When `HashMap` keys however, this represents a potential source
-//! of deadlocks, as the additional entropy may only be generated once the
-//! program makes forward progress. In that case, we just use the best random
-//! data the system has available at the time.
+//! for the output of `SystemRng` so we simply wait until it is initialized.
+//! When `HashMap` keys however, this represents a potential source of
+//! deadlocks, as the additional entropy may only be generated once the program
+//! makes forward progress. In that case, we just use the best random data the
+//! system has available at the time.
 //!
 //! So in conclusion, we always want the output of the non-blocking pool, but
 //! may need to wait until it is initialized. The default behavior of `getrandom`