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Dunno mate, but my intuition, or something, is telling me it would be a couple of dozen.But if you want a really unintuitive odds problem, try this.
Imagine you were going to offer a simple bet, i.e. no odds-based payout - you bet someone £10, if you win he gives you £10, if you lose you give him £10.
You and a mate are about to walk into a pub. How many people would you like it to contain for you to be happy saying "I bet you £10 that there are at least 2 people in there who have the same birthday (day & month)"?
Yes I could sit and work it out but I CBA!