Find the probability of rolling two dice and getting a sum of 4.

Probability defines the likelihood of occurrence of an event.

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.

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.

Thus, 1/12 is the probability of rolling two dice and getting a sum of 4.