This is one of my favourite problems, I still remember that it has a very real edge case even though I solved it more than 10 years ago. Thank you for the problem!

▲

vhcr 4 hours ago | parent | next [-]

I'm guessing if you only calculate based on the digits, the probability is going to be slightly different than the real one, because you only have a finite number of plates you can choose from.

▲

dpacmittal 2 hours ago | parent | prev | next [-]

Sounds like the birthday paradox problem. Is it?

▲

knollimar 7 hours ago | parent | prev | next [-]

Can you reuse a plate with 500?

	▲	hatthew 6 hours ago \| parent [-]
		The wording seems to strongly imply no; you need two separate plates with 500 on them.

▲

SethTro 7 hours ago | parent | prev [-]

I'm glad you enjoyed! It was a real game I played when driving around.