Probability question

There are three ways three dice can roll a 4. (possibilities are 1-1-2, 1-2-1, and 2-1-1)

There are 216 possibilities for a sum when you roll three die. So, the probabilitiy that you will roll a 4 is 3/216=1/72

JP

6^3  =  216  Possible Outcomes

1 way for   3

3 ways for 4

6 for 5

10 for 6

15 for 7

21 for 8

25 for 9

27 for 10

27 for 11

25 for 12

21 for 13

15 for 14

10 for 15

6 for 16

3 for 17

1 for 18

Multiples  of  4  =   4 , 8 , 12 , 16

So

( 3  +  21  +  25  + 6) /   216   =

  55  / 216