SOLUTION: In a single throw of a pair of dice, what is the probability that the obtaining a total of 9?

Here are all possible rolls.

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

(Question 1)  Count them ALL.  How many are there? ____

Now I will color red ONLY the ones for which the total
of the two numbers is 9:

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

(Question 2)  Count ONLY the red ones.  How many are there?  ___

Make a fraction with the answer to (Question 2) as the numerator
and the answer to (Question 1) as the denominator.

Then reduce that fraction to lowest terms.

That fraction is the probability that you're looking for.

Edwin