<PRE><B>Question 1135112</B>
Assume you are rolling two​ dice; the first one is​ red, and the second is green.
Use a systematic listing to determine the number of ways you can roll a total less
than 10 on the two dice.
&lt;pre&gt;Here is a systematic way to arrange all 36 rolls in an array. The purplish-
blue rolls total less than 10 and the light bluish green ones total 10 or more
 &lt;font color=&quot;indigo&quot;&gt;&lt;b&gt;

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
 
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
 
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)&lt;/font&gt;&lt;/b&gt; 
 
&lt;font color=&quot;indigo&quot;&gt;&lt;b&gt;(4,1) (4,2) (4,3) (4,4) (4,5)&lt;/font&gt;&lt;/b&gt; &lt;font color=&quot;cyan&quot;&gt;&lt;b&gt;(4,6)&lt;/b&gt;&lt;/font&gt; 
 
&lt;font color=&quot;indigo&quot;&gt;&lt;b&gt;(5,1) (5,2) (5,3) (5,4)&lt;/font&gt;&lt;/b&gt;&lt;font color=&quot;cyan&quot;&gt;&lt;b&gt; (5,5) (5,6)
 
&lt;font color=&quot;indigo&quot;&gt;&lt;b&gt;(6,1) (6,2) (6,3)&lt;/font&gt;&lt;/b&gt;&lt;font color=&quot;cyan&quot;&gt;&lt;b&gt; (6,4) (6,5) (6,6)&lt;/pre&gt;&lt;/b&gt;&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;
&lt;pre&gt;
Count the purplish-blue ones. There are 30. 

Edwin&lt;/pre&gt;</PRE>