If 10,000 people enter a single entry, the odds are 1 in 10,000. If those same 10,000 people each enter a daily sweep for 30 days there will be 300,000 total entries. Each entrant will have 30 out of the 300,000 or 1 in 10,000 (300,000 divided by 30 =10,000) . The odds are exactly the same. The realty is that some of the 10,000 people won't enter every day for 30 days. Some will only enter once, others just a few times, so you won't get 300,000 entries you'll get a lesser number. I'm going to pluck a figure out of the air - 267,312. Let's say that is the total number of entries. If you had 30 of them then your odds are 267,312 divided by 30 or 1 in 8,910.4. Your odds will always be slightly better on a daily entry sweep if you take advantage of all your entry opportunities due to the fact that not everyone will enter 30 times. This reduces the total number of entries and increases your odds.
This is different from the Powerball, where the odds are based on the total number of balls, not the total number of entrants. Five white balls out of a drum with 69 balls and one red ball out of a drum with 26 red balls. Calculate all the possible number of combinations of balls and you get a finite figure - 292,201,338 (I got that from the internet). Buy a ticket and you odds are 1 in 292,201,33 for the Grand Prize. There are lesser prizes to be won also, and the odds there are better as there are fewer balls involved. It doesn't matter how many people buy tickets, your odds will stay the same because they are based on the total possible number of combinations. That's the reason you can have multiple winners who chose the same number in the Powerball while you can only have 1 winner in a sweepstakes where the winner is 1 entry out of the total number of entries.
My wife buys an occasional Powerball ticket but I never do.