I'm writing an IB math paper on the birthday paradox... At first, I wanted to answer the question,

How many friends would you have tomato to have a 90+% probability that for everyday of the year, you have at least one friend with a birthday ?

The answer is 2153, (saw off a math/science-y youtube channel) but I have no idea how they came to that, and I need to show the work.

discouraged, I decided to try a different question, "How many people would you need (#n) to reach a probability of 90+% that someone shares you EXACT birthday, including not just the month and day, but also the year and hour.

I know these are really complicated and I've likely bitten off more than I could chew, but is there anyone out there that can help me with either?? I would REALLY appreciate it!

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