Final answer:
The question addressed subsets and probability in a college-level mathematics course, focusing on the identification and computation of subsets, and the application of probability within set theory.
Step-by-step explanation:
The student's question pertains to the topic of subsets in mathematics, specifically within the context of an assignment from a course titled 'Thinking Mathematically'. The concept of subsets involves identifying smaller groups of elements within a larger set that adhere to certain conditions or rules. For instance, set A is a subset of set S because all elements of A are contained within S. Additionally, the probability (P(A)) of event A occurring is calculated by dividing the number of outcomes in A by the number of outcomes in S. In provided Solution 3.1, the number of outcomes in A is 9 and in S is 19, so P(A) is 9/19. Understanding the intersection and union of sets, as in A AND B and A OR B, is also crucial for solving problems related to subsets in mathematics. Hypergeometric problems, like the one described in Try It Σ 4.23, involve scenarios where selections are made without replacement, affecting the probabilities of subsequent choices.