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Example 3.3 License Plates

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Most states now use the system where a license plate has six symbols. One type (call it A) of such licenses has a prefix of three letters followed by a three‐digit number (e.g., CQX 786). Other states use system (call it B) with a two‐letter prefix, followed by a four‐digit number (e.g., KN 7207). Still other states use system C, a digit and two letters, followed by a three digit number (e.g., 2CP 412). In addition states allow (for a special fee) “personalized” plates such as CATHY3 or MYCAR. Disregarding the personalized plates, which type of the license plate system can register most cars?

Probability and Statistical Inference

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