Question

Two dice are thrown. Describe the sample space of this experiment.

Answer 1

In a dice there are six faces with numbers 1, 2, 3, 4, 5, 6

So, when two dice are thrown, then we have two faces of dice (one of each) show any two combination of numbers from 1, 2, 3, 4, 5, 6

Thus, the number of elements in sample space = 6^2 = 36

S= {(1, 1),(1, 2),(1,3),(1, 4),(1,5),(1, 6),
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6),
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}