Question

A bag contains chips lettered B, A, and G. A second bag contains four chips numbered 1, 2, 3, and 4. Before we start our division process, we need to make sure the _______ is a __________.

a) First bag, set
b) Second bag, subset
c) Second bag, set
d) First bag, subset

Answer 1

The most appropriate answer is 'c) Second bag, set' because the second bag has a distinct collection of numbers that forms a set suitable for the division process.

Step-by-step explanation:

The question asks to fill in the blanks such that the division process is correct. The correct answers are c) Second bag, set and d) First bag, subset. However, since a subset implies some form of limitation and the first bag is not limited by a larger set, the most appropriate response is 'c) Second bag, set'. A 'set' is a collection of distinct objects. In probability and statistics, when we talk about a set, we are often referring to all possible outcomes, while a subset refers to one or more of the items within a larger set. Since the second bag contains a collection of distinct numbers, it qualifies as a set. The division or combination of picking one letter from the first bag (with chips lettered B, A, and G) and one number from the second bag (containing numbers 1, 2, 3, and 4) would involve considering both as sets.