I’ve been citing this piece for years: [How can a poll of only 1,004 Americans represent 260 million people with only a 3 percent margin of error?](https://www.scientificamerican.com/article/howcan-a-poll-of-only-100/)
“The margin of error depends inversely on the square root of the sample size. That is, a sample of 250 will give you a 6 percent margin of error and a sample size of 100 will give you a 10 percent margin of error.” It doesn’t matter how many people the survey represents, because as long as the sample is truly random/representative (as other commenters have explained), the *percentages* will stays the same.
One bag of M&Ms will (within margin of error) have the same percentage of blues as a million bags of M&Ms all dumped into a bowl together.
Latest Answers