What is the probability of getting a sum 9 from two throws of a dice?

Solution: There are 6 × 6 = 36 equally likely ordered outcomes when two fair dice are thrown.

Favourable outcomes that give a sum of 9 (ordered pairs): (3,6), (4,5), (5,4), (6,3).

• Number of favourable outcomes = 4.

• Total number of outcomes = 36.

Probability = favourable outcomes ÷ total outcomes = 4/36 = 1/9.