Answer:
All the 36 outcomes are equally likely.
Step-by-step explanation:
The sample space of rolling a single six-sided dice is:
S = {1, 2, 3, 4, 5, 6}
Then the sample space of rolling a pair of six-sided dice is:
S₁ = {(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)}
All the 36 outcomes are equally likely, i.e. all the outcomes has the same probability of success, [tex]\frac{1}{36}[/tex].
