Answer:
a) (i) A∪B are 8, 9, 14, 15, 16, 17
(ii) A ∩ B are 14 and 17
b) The probability that a number chosen at random is in the set A' is 0.7
Step-by-step explanation:
a) (i) The numbers that are in the set A∪B are given as follows;
A∪B = {x: x ∈ A or x ∈ B}
A∪B is the set of all elements "x" such that "x" is a member of A or B
Therefore, A∪B = (8, 9, 14, 15, 16, 17)
(ii) A intersection B, written as , A∩B), is the set of elements belonging to both set A and set B
A∩B = {x: x ∈ A and x ∈ B}
Therefore;
A ∩ B = 14 and 17
b) The set A' which is the complement of A are the elements in the universe which are not in A
The number of elements in the Venn diagram = 10 (numbers)
The number of elements in the set A' = 7
The probability that a number chosen at random is in the set A', P(A') is given as follows;
P(A') = (The number of elements in the set A')/(The number of elements in the Venn diagram)
∴ P(A') = 7/10 = 0.7
