Final answer:
The provided information is insufficient to determine the frequency of a gift bag containing both a T-shirt and socks. Necessary probability or frequency details are not provided to answer the question.
Step-by-step explanation:
The subject of this question falls under Mathematics, specifically involving probability or potentially combinatorics. The grade level would likely be High School. However, it appears that the necessary information to determine the probability of a gift bag containing both a T-shirt and socks at the grand opening of a sporting goods store is missing. To correctly answer how often a bag will contain both items, we would need to know the probability distribution or frequency of each item being placed in the bags. Without this information, we cannot ascertain whether the correct answer is A, B, C, or D.
To determine how often a bag will contain both a T-shirt and socks, we need to find the LCM (Least Common Multiple) of the number of bags that contain T-shirts and the number of bags that contain socks.
In this case, the options given are:
A. Every 6th bag
B. Every 7th bag
C. Every 12th bag
D. Every 24th bag
The LCM of 6 and 7 is 42, which means that a bag will contain both a T-shirt and socks every 42 bags.
Therefore, the corre