Answer to Question #101220 in Statistics and Probability for Angelica nero

Question

Three dice are tossed. Show the total sample point. (Once)

Answer 1

Total sample point when one die is rolled contains 6 possibilities which are {1,2,3,4,5,6}.

So the total number of sample points if three dice are rolled = 6 * 6 * 6 = 216

Sample points are below:

(1,1,1),(1,1,2),(1,1,3),(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),

(3,3,1),(3,3,2),(3,3,3),(3,3,4),(3,3,5),(3,3,6),(3,4,1),(3,4,2),(3,4,3),(3,4,4),(3,4,5),(3,4,6),

(3,5,1),(3,5,2),(3,5,3),(3,5,4),(3,5,5),(3,5,6),(3,6,1),(3,6,2),(3,6,3),(3,6,4),(3,6,5),(3,6,6),

(4,1,1),(4,1,2),(4,1,3),(4,1,4),(4,1,5),(4,1,6),(4,2,1),(4,2,2),(4,2,3),(4,2,4),(4,2,5),(4,2,6),

(4,3,1),(4,3,2),(4,3,3),(4,3,4),(4,3,5),(4,3,6),(4,4,1),(4,4,2),(4,4,3),(4,4,4),(4,4,5),(4,4,6),

(4,5,1),(4,5,2),(4,5,3),(4,5,4),(4,5,5),(4,5,6),(4,6,1),(4,6,2),(4,6,3),(4,6,4),(4,6,5),(4,6,6),

(5,1,1),(5,1,2),(5,1,3),(5,1,4),(5,1,5),(5,1,6),(5,2,1),(5,2,2),(5,2,3),(5,2,4),(5,2,5),(5,2,6),

(5,3,1),(5,3,2),(5,3,3),(5,3,4),(5,3,5),(5,3,6),(5,4,1),(5,4,2),(5,4,3),(5,4,4),(5,4,5),(5,4,6),

(5,5,1),(5,5,2),(5,5,3),(5,5,4),(5,5,5),(5,5,6),(5,6,1),(5,6,2),(5,6,3),(5,6,4),(5,6,5),(5,6,6),

(6,1,1),(6,1,2),(6,1,3),(6,1,4),(6,1,5),(6,1,6),(6,2,1),(6,2,2),(6,2,3),(6,2,4),(6,2,5),(6,2,6),

(6,3,1),(6,3,2),(6,3,3),(6,3,4),(6,3,5),(6,3,6),(6,4,1),(6,4,2),(6,4,3),(6,4,4),(6,4,5),(6,4,6),

(6,5,1),(6,5,2),(6,5,3),(6,5,4),(6,5,5),(6,5,6),(6,6,1),(6,6,2),(6,6,3),(6,6,4),(6,6,5),(6,6,6)

Above are all the possibilities if 3 dice are rolled.