Question

Suppose two dice are tossed and the numbers on the upper faces are observed. let s denote the set of all possible pairs that can be observed. [these pairs can be listed, for example, by letting (2, 3) denote that a 2 was observed on the first die and a 3 on the second.]

Answer 1

Suppose two dice are tossed and the numbers on the upper faces are observed. let s denote the set of all possible pairs that can be observed.

Answer: If two dice are tossed, there are $6^{2} =36$ possible outcomes.The possible pairs that can be observed are given in a set denoted by s below:

$\left[\begin{array}{cccccc}(1,1)&(1,2)&(1,3)&(1,4)&(1,5)&(1,6)\\(2,1)&(2,2)&(2,3)&(2,4)&(2,5)&(2,6)\\(3,1)&(3,2)&(3,3)&(3,4)&(3,5)&(3,6)\\(4,1)&(4,2)&(4,3)&(4,4)&(4,5)&(4,6)\\(5,1)&(5,2)&(5,3)&(5,4)&(5,5)&(5,6)\\(6,1)&(6,2)&(6,3)&(6,4)&(6,5)&(6,6)\end{array}\right]$