Question

Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die shows 1; B: the numbers add to 4; C: at least one of the numbers is 1; and D: the numbers do not add to 11. How many elements does it contain?

Answer 1

A) The elements in the dataset: Red die shows 1 contain the following events:

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

Therefore 6 elements here.

B) The numbers add to 4. The elements here are obtained as:

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

Therefore 3 elements are here.

C) At least one of the number is 1: The elements here are obtained as:

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

Therefore 11 elements are here.

D) The numbers do not add to 11. The elements here are obtained as:

The elements not allowed here are: (5, 6) and (6, 5)

Therefore there are 36 - 2 = 34 elements here.