SOLUTION: 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 o

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Question 1135112: 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.
In how many ways can you roll less than 10​?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
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.
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
 

(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)

Count the purplish-blue ones. There are 30. 

Edwin