In a single throw of two dice what is the probability of not getting the same number of both the dice?

Answer 1

5/6 or 83.3%
Regardless of the number on the first dice, the second dice has a 1 in 6 change of matching it. Thus a 5 in 6 change of not matching it.

Answer 2

IF we throw 2 dice then there are 6 possible outcomes of having same number on both dice, namely
(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)
And total 36 possible outcome of throwing two dice.
Therefore probability of getting same numbers on both dice =6/36

Hence probability of not getting same numbers on both dice will be

1-probability( Getting same number on both dice)
=1-6/36
=30/36
=5/6