# When rolling two 6 sided number cubes. What are the chances the sum of the roll will be 7?

The ratio of the total number of favorable outcomes to the total number of outcomes is called probability. It is denoted by P (e) where is refers to the event.

## Answer: The Probability of getting the sum of the roll will be 7 is 1/ 6.

Let's find the probability.

**Explanation:**

If two dice are rolled together, the sample space of outcomes will be given below,

(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)

⇒ Total number of outcomes = 36

⇒ Getting the sum 7 (favourable outomes) = (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1).

⇒ P (Getting a sum 7) = Number of favourable outcomes / Total number of outcomes.

⇒ P (Getting a sum 7) = 6 / 36

⇒ P (Getting a sum 7) = 1 / 6

You can calculate the Probability of the given event using Cuemath's online probability calculator.