Two dice are rolled, and the sum of the face values is six. what is the probability that at least one of the dice came up a three

Answer :

Explanation :

We know that ,

Sample space of " sum of faces is 6"=

Atleast one of the dice come up 3 =

So,

Alright, so there are 4 reindeer to fill 3 different positions, which is a permutation. If you have a calculator, this can be calculated by finding the nPr function and filling in 4P3 (4 pick 3).

If you don't have a calculator, you can use the formula:
n! / ((n-r)!)
where n is the total number in the set and r is the number chosen

solving that formula:
4! / (4-3)! = 4*3*2*1/1 = 24

Either way, you get the answer of 24.