Answer:

The probability of rolling two dice and getting a sum of 4 is 1/12. Let's find how likely we get a sum of 4 when we roll two dice simultaneously. So, when we roll two dice there are 6 × 6 = 36 possibilities. When we roll two dice, the possibility of getting number 4 is (1, 3), (2, 2), and (3, 1).

Step-by-step explanation:

The set of possible outcomes when we roll a die are {1, 2, 3, 4, 5, 6}

So, when we roll two dice there are 6 × 6 = 36 possibilities.

When we roll two dice, the possibility of getting number 4 is (1, 3), (2, 2), and (3, 1).

So,

The number of favorable outcomes = 3

Total number of possibilities = 36

Probability = The number of favorable outcomes / Total number of possibilities = 3 / 36 = 1/12.