Answer:
1/9
Step-by-step explanation:
When we roll one die, there are 6 different faces on which it can land.
When we roll two dice simultaneously, then the total number of outcomes is 6 x 6 = 36.
Now out of these 36 outcomes how many produce the sum of the numbers on dice to be 4?
Let us consider the possibilities.
(1, 3), (3,1), ( 2, 2), (2,2)
all give a sum of 4. The other combinations, for example (3, 2) or ( 4,5), do not sum up to 4.
This means that there are a total of 4 outcomes out of 36 that give our desired result ( sum of 4). Therefore, the probability that the sum of numbers on our dice be 4 is
probablity = # favourable outcomes / total # of outcomes
= 4 / 36
= 1 / 9
==> probablity = 1 / 9.