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  1. Think about it this way. There is a roulette wheel with 365 slots on it. I walk up and randomly drop a ball in one slot. Zero chace there are two balls in the same slot b/c I’m first. Second person walks up and drops ball randomly. Chance is 1/365 of hitting my ball. Third person walks up and drops ball. What is chance of hitting one of the first two balls? 2/365 for that single shot. Repeat for 30 people and then calculate the *cumulative* likelihood that none of those people would have hit another ball. After a few people have gone the cumulative likelihood of no two balls in the same slot gets pretty small.

    Something like that.

  2. “Several pairs of PLUSAs share the same day.”
    Especially those who have twins.

    There could be even more shared birthdays but not all PLUSAs are comfortable saying when there birthday is; at least not online.

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