Question 303409
Two dice are rolled.  Find the probablility that the 
score on the dice is either 12 or at most 5.
<pre><font size = 4 color = "indigo"><b>
Here is the sample space of all 36 possible rolls of
a pair of dice:

(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)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (5,2) (6,3) (6,4) (6,5) (6,6)

Now I will color the ones red which are
either 12 or at most 5.
 
<font color = "red">(1,1) (1,2) (1,3) (1,4)</font> (1,5) (1,6) 

<font color = "red">(2,1) (2,2) (2,3)</font> (2,4) (2,5) (2,6)

<font color = "red">(3,1) (3,2)</font> (3,3) (3,4) (3,5) (3,6)

<font color = "red">(4,1)</font> (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (5,2) (6,3) (6,4) (6,5) <font color = "red">(6,6)</font>

Count the red ones.  There are 11.  That's 11 out of 36.  So

the probability is {{{11/36}}}

Edwin</pre>