Question

In a single throw of two dice, find the probability of a number less than 3 on each dice.

Answer 1

The number of possible outcomes is 6 × 6 = 36. 

We write them as given below:  

1, 11, 21, 31, 41, 51, 6

2, 12, 22, 32, 42, 52, 6

3, 13, 23, 33, 43, 53, 6 

4, 14, 24, 34, 44, 54, 6

5, 15, 25, 35, 45, 55, 6

6, 16, 26, 36, 46, 56, 6

n(S) = 36  

E = Event of getting a number less than 3 on each dice

= {(1, 1)),(1, 2),(2, 1),(2, 2)} 

n(E) = 4

Probability of getting a number less than 3 on each dice = `(n(E))/(n(S)) = 4/36 = 1/9 `