Two standard dice are rolled, what is the probability of rolling a pair (both the same number)?
The probability of rolling the pair
We note that, if a die is rolled the sample space:
We know that ,if two dice rolled the sample space :
i.e. When two dice are tossed together ,
the possible pairs are :
So , the probability of rolling the pair
Since we are rolling two six-sided dice, there are
How many ways can we get double numbers?
Thus, the probability of rolling pairs is
Hope this helps!