Final answer:
The set of odd whole numbers less than 10 is {1, 3, 5, 7, 9} using listing method. The sample space S is {1, 2, ..., 19}, event A (even numbers) is {2, 4, ..., 18}, event B (numbers > 13) is {14, ..., 19}, and A AND B is {14, 16, 18}. Probability of A is 9/19.
Step-by-step explanation:
The student has asked to list all the elements of the set of odd whole numbers less than 10 and express this set using set notation and the listing method. The set can be described in set notation as x . Using the listing method, the set is represented as {1, 3, 5, 7, 9}. These numbers are all the odd whole numbers that are less than 10.
Regarding the sample space S, which is the set of whole numbers starting at one and less than 20, we can write it as S = {1, 2, 3, ..., 18, 19}. For event A, which comprises the even numbers from the sample space, the set is A = {2, 4, 6, 8, 10, 12, 14, 16, 18}, and for event B, which includes numbers greater than 13, the set is B = {14, 15, 16, 17, 18, 19}.
The probability of event A, denoted as P(A), would be the number of favorable outcomes divided by the total number of outcomes in the sample space. Given that event A comprises all even numbers less than 20, there are 9 even numbers, and since there are 19 total possible outcomes in the sample space, P(A) = 9/19.
The set A AND B contains all outcomes that are in both set A and set B, which is {14,16,18}. In contrast, the set A OR B includes all outcomes in either of the sets A or B, which is {2, 4, 6, 8, 10, 12, 14, 15, 16, 17, 18, 19}.