Mathematical Methods in the Physical Sciences · Problem 4.11

FUNCTIONS OF A COMPLEX VARIABLE — Mary Boas

Mathematics — Methods · license-plate-probability

Problem

The following game was being played on a busy street: Observe the last two digits on each license plate. What is the probability of observing at least two cars with the same last two digits among the first 5 cars? 10 cars? 15 cars? How many cars must you observe in order for the probability to be greater than

\frac{1}{2}

of observing two with the same last two digits?

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