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Assume that the last two digits on a car number plate are equally likely to be...

Assume that the last two digits on a car number plate are equally likely to be any of the 100 outcomes{00, 01, 02, ........ 98, 99}. Peter bets Paul, at even money, that at least 2 of the next n cars seen will have the same last two digits. Does n=16 favour Peter or Paul? What value of n would make this a pretty fair bet?

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