Question

Two different dice are rolled together. Find the probability of getting the sum of numbers on two dice to be 5.

 

Answer 1

	1	2	3	4	5	6
1	(1, 1)	(1, 2)	(1, 3)	(1, 4)	(1, 5)	(1, 6)
2	(2, 1)	(2, 2)	(2, 3)	(2, 4)	(2, 5)	(2, 6)
3	(3, 1)	(3, 2)	(3, 3)	(3, 4)	(3, 5)	(3, 6)
4	(4, 1)	(4, 2)	(4, 3)	(4, 4)	(4, 5)	(4, 6)
5	(5, 1)	(5, 2)	(5, 3)	(5, 4)	(5, 5)	(5, 6)
6	(6, 1)	(6, 2)	(6, 3)	(6, 4)	(6, 5)	(6, 6)

∴ Total number of possible outcomes = 36

We know

Probability of an event= `"Favourable number of outcomes"/"Total number of outcomes"`

The outcomes favourable to the event 'the sum of the numbers on two dice to be 5' denoted by E are (1, 4), (2, 3), (4, 1) and (3, 2).

Total number of favourable outcomes = 4

`:.P(E)=4/36=1/9`