Question

If two dices are thrown what is the probability to get the sum of outcomes $=6$.

Answer 1

If two dices are thrown then its sample space contains $6^2=36$ outcomes.

Now if the sum of the outcomes is to be $6$ then sample space should contain the points $(1,5),(2,4),(3,3),(4,2),(5,1)$ and these points are contained in the sample space. That is $5$ point are favourable to our events.

So the required probability is $\frac{5}{36}$.