diff --git a/doc/src/sgml/func/func-datetime.sgml b/doc/src/sgml/func/func-datetime.sgml
index 39dddde4fe1..428096ee827 100644
--- a/doc/src/sgml/func/func-datetime.sgml
+++ b/doc/src/sgml/func/func-datetime.sgml
@@ -945,7 +945,7 @@
          <returnvalue>timestamptz</returnvalue>
         </para>
         <para>
-         Returns a random value in the range
+         Returns a random value uniformly from the range
          <parameter>min</parameter> &lt;= x &lt;= <parameter>max</parameter>.
         </para>
         <para>
diff --git a/doc/src/sgml/func/func-math.sgml b/doc/src/sgml/func/func-math.sgml
index 9dcf97e7c9e..078edfb2abd 100644
--- a/doc/src/sgml/func/func-math.sgml
+++ b/doc/src/sgml/func/func-math.sgml
@@ -1065,7 +1065,7 @@
         <returnvalue>double precision</returnvalue>
        </para>
        <para>
-        Returns a random value in the range 0.0 &lt;= x &lt; 1.0
+        Returns a random value uniformly from the range 0.0 &lt;= x &lt; 1.0
        </para>
        <para>
         <literal>random()</literal>
@@ -1090,7 +1090,7 @@
         <returnvalue>numeric</returnvalue>
        </para>
        <para>
-        Returns a random value in the range
+        Returns a random value uniforlmy from the range
         <parameter>min</parameter> &lt;= x &lt;= <parameter>max</parameter>.
         For type <type>numeric</type>, the result will have the same number of
         fractional decimal digits as <parameter>min</parameter> or