Final answer:
The question refers to the mathematical concept of probability, where the 'complement' and 'supplement' relate to outcomes within a sample space.
correct option is d) Geometry
Step-by-step explanation:
The question "2 is better than 1." The complement of 1 and 3 is a supplement of 1, refers to the mathematical concept of probability. The terms 'complement' and 'supplement' are often used in conjunction with events in probability theory. When an event A occurs, the complement of A represents all outcomes that are not A within the sample space. If the probability of A happening is P(A), then the probability of the complement of A (not A) would be 1 - P(A). Similarly, when we refer to the supplement of an event in probability, we typically mean another event that adds up with the event to cover the entire sample space.
Furthermore, based on the information provided regarding addition and commutativity (A+B=B+A), which is indicative of the rules pertaining to basic calculations and can relate to the probability theory, especially when you're considering the probability of multiple individual events occurring.
The reference to mutual exclusivity and independent events in the rules of probability, as well as the notions of sampling with and without replacement, are all foundational aspects of probability theory. These concepts are employed to calculate combined probabilities of events using the multiplication rule and the addition rule.