If two dice are rolled what is the probability of getting a sum of 6.

Solution:

Given, two dice are rolled.

We have to find the probability of getting a sum of 6.

We know that, probability of an event = Favourable outcomes/Total outcomes.

When two dice are rolled, the possible outcomes are

(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 outcomes = 6(6) = 36

Favourable outcomes = getting a sum of 6

= (1, 5) (2, 4) (3, 3) (4, 2) (5, 1)

= 5

Therefore, the probability of getting a sum of 6 = 5/36.

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If two dice are rolled what is the probability of getting a sum of 6.

Summary:

If two dice are rolled, the probability of getting a sum of 6 is 5/36.