Question

let be the set of all natural numbers. we define the relation on by the condition: choose all pairs that do not satisfy the relation group of answer choices (10, 1) (6, 2) (2, 6) (5, 5) (1, 4)

Answer 1

The relation defined on the set of natural numbers can be represented as a set of pairs that do not satisfy the relation. The complement of set A consists of all outcomes in the sample space that do not lie in A. The probability of A' can be calculated by dividing the number of outcomes in A' by the number of outcomes in S.

Step-by-step explanation:

The relation defined on the set of natural numbers can be represented as a set of pairs that do not satisfy the relation. In this case, the relation does not hold for the pairs (10, 1), (6, 2), (2, 6), (5, 5), and (1, 4).

The sample space, S, consists of all natural numbers less than 20. The set A' represents the complement of set A, which consists of all outcomes in S that do not lie in A. In this case, A' = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19}.

The probability of A' can be calculated by dividing the number of outcomes in A' by the number of outcomes in S. In this case, P(A') = 19/19 = 1.