Final answer:
The AND function is the logical operation that yields true only if both operands are true. It is represented in various contexts such as set theory and probability theory.
Step-by-step explanation:
The function that yields true if both operands are the same is known as the AND function. In logical operations, AND represents a function that returns true if both operand A and operand B are true. This can be visualized in a truth table where the only true outcome is when both inputs are true. For instance, in probability, the probability of event A AND event B occurring is represented by P(A AND B), which is the intersection of the two events.
Examples of AND usage in different contexts include set theory where A AND B represents the intersection of sets A and B, probability theory where outcomes must satisfy both A and B conditions, and logical operations within programming and computer science.