Rolling Dice Three dice are rolled. Find the probability

Step 1 of 3

 Given that the three dice are rolled.

 When three dice are rolled, the possible outcomes are

Therefore, the sample space is given by

 {1,1,1} {1,1,2} {1,1,4} {1,1,5} {1,1,6} {1,2,1} {1,2,2} {1,2,3} {1,2,4} {1,2,5} {1,2,6} {1,3,1} {1,3,2} {1,3,3} {1,3,4} {1,3,5} {1,3,6} {1,4,1} {1,4,2} {1,4,3} {1,4,4} {1,4,5} {1,4,6} {1,5,1} {1,5,2} {1,5,3} {1,5,4} {1,5,5} {1,5,6} {1,6,1} {1,6,2} {1,6,3} {1,6,4} {1,6,5} {1,6,6} {2,1,1} {2,1,2} {2,1,3} {2,1,4} {2,1,5} {2,1,6} {2,2,1} {2,2,2} {2,2,3}

{2,2,4} {2,2,5} {2,2,6} {2,3,1} {2,3,2} {2,3,3} {2,3,4} {2,3,5} {2,3,6}

{2,4,1} {2,4,2} {2,4,3} {2,4,4} {2,4,5} {2,4,6} {2,5,1} {2,5,2} {2,5,3} {2,5,4} {2,5,5} {2,5,6} {2,6,1} {2,6,2} {2,6,3} {2,6,4} {2,6,5} {2,6,6}

{3,1,1} {3,1,2} {3,1,3} {3,1,4} {3,1,5}  {3,1,6} {3,2,1}{3,2,2}{3,2,3}

{3,2,4} {3,2,5} {3,2,6} and so on

 {6,6,1} {6,6,2} {6,6,3} {6,6,4} {6,6,5} {6,6,6}.