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This puzzle everytime blows my mind.

  • Albert: I don't know the birthday, but I know that Bernard also doesn't know.

It lefts us with June and August, because these months without unique date.

  • Bernard: At first I didn't know the birthday, but now I know.

Now we have 15, 16 and 17. If it was 14 Bernard still wouldn't know the right answer.

  • Albert: Then I also know the birthday now.

At this point we're at the trap. Seem like it's July 16, because if we eliminate 14th date we left with 16, but as I remember the right answer if 17. Logic Behind it, we take the month with unique date where we have only two options and it's June. If it's not 18, then it's 17. Get back to possible months (July and August), with 17 we have only August. So the right answer should be August 17.

p.s. I really want to read right explanation without googling or AI-ing.

You almost got it but psyched yourself out by thinking the answer should be 17.

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Yeah, you're right I went to the incorrect solution of ired the most obvious answer.

btw, there's even a page on wiki dedicated to this puzzle https://en.wikipedia.org/wiki/Cheryl%27s_Birthday

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