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# Probability of rolling a sum of 6 with two dice?

We will be using the concept of the probability of rolling a die to solve this.

## Answer: The probability of rolling a sum of 6 with two dice is 5/36.

Let's solve this step by step.

**Explanation:**

We know, the probability of an event = Favorable outcomes / Total outcomes.

In a case of two dices,

Total outcomes = 6 × 6 = 36

A.T. Q favorable outcome is a sum of 6,

Ways of obtaining a sum of 6

(1,5), (5,1), (2,4),(4,2) and (3,3). Thus, there are 5 ways in which 6 can be obtained using two dices.

Therefore, required probability (P),

P = 5/ 36

### Hence, the probability of rolling a sum of 6 with two dice is 5/36.

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