Question

If two balanced die are​ rolled, the possible outcomes can be represented as follows.

​(1,1)
​ (2,1)
​(3,1)
​(4,1)
​(5,1)
​(6,1)
​(1,2)
​(2,2)
​(3,2)
​(4,2)
​(5,2)
​(6,2)
​(1,3)
​(2,3)
​(3,3)
​(4,3)
​(5,3)
​(6,3)
​(1,4)
​(2,4)
​(3,4)
​(4,4)
​(5,4)
​(6,4)
​(1,5)
​(2,5)
​(3,5)
​(4,5)
​(5,5)
​(6,5)
​(1,6)
​(2,6)
​(3,6)
​(4,6)
​(5,6)
​(6,6)
Determine the probability that the sum of the dice is 4 or 12.

Answer 1

1/9

Explanation:

Sum = 4: (1,3) (2,2) (3,1)

Sum = 12: (6,6)

4/36 = 1/9 or 0.111