Final answer:
The main idea of a passage summarizes its most important point, and option C about birthday parties being fun could serve as a main idea with other options as supporting details.
Step-by-step explanation:
The main idea of a passage is a statement that summarizes the most important point that the entire passage is about. For the options given, C. Birthday parties for young kids can be fun seems like it could be the main idea, as it is a general statement that could encompass various details about birthday parties such as the dessert, activities, and entertainment mentioned in the other options.
For example, details like the typical birthday dessert is cake and ice cream and many kids want clowns at their parties could serve as supporting details that illustrate why birthday parties for young kids can be fun. Contrarily, the arguments such as 'all desserts are sweet' and 'some sweet foods are low fat' cannot conclude that 'all desserts are low fat' because it is a logical fallacy; this example illustrates why it is important to differentiate between general statements that can serve as main ideas and specific details that cannot.
In probability or combinatorial problems, like calculating the likelihood of pulling a hat from a box of party favors, the main idea is often related to the principles or formulas used in probability calculations.