What is the probability of getting a license plate that has a repeated letter or digit if you live in a state that has four letters followed by three numerals followed by two letters? (Round to the nearest whole percent.)

To calculate the probability of getting a license plate that has a repeated letter or digit, we need to find the total number of possible license plate combinations that meet the given criteria, as well as the number of combinations that have a repeated letter or digit.

In the given scenario, the license plate format consists of four letters, followed by three numerals, and then two letters. Let's break down the calculation step by step:

Step 1: Calculate the total number of possible license plate combinations:
- There are 26 letters in the English alphabet, so for the four-letter section, there are 26 choices for each position. Therefore, the total number of possible four-letter combinations is 26^4.
- There are 10 numerals (0-9), so for the three-numeral section, there are 10 choices for each position. Therefore, the total number of possible three-numeral combinations is 10^3.
- Similarly, for the two-letter section, there are 26 choices for each position. Therefore, the total number of possible two-letter combinations is 26^2.

Step 2: Calculate the number of combinations that have a repeated letter or digit:
For simplicity, let's consider "repeats" as any situation where at least one letter or digit appears more than once in the license plate. We'll find the number of combinations without repeats and subtract it from the total number of combinations.

- For the four-letter section, there are a total of 26 choices. Therefore, the number of combinations without repeats is 26P4 (permutations of 26, taken 4 at a time).
- Similarly, for the three-numeral section, there are a total of 10 choices. Therefore, the number of combinations without repeats is 10P3.
- For the two-letter section, the number of combinations without repeats is 26P2.

Step 3: Calculate the final probability:
To obtain the probability, divide the number of combinations with repeated letters or digits (obtained in Step 2) by the total number of possible combinations (obtained in Step 1). Multiply the result by 100 and round to the nearest whole percent.

Final Answer:
Probability = (Number of combinations with repeats / Total number of possible combinations) * 100 (rounded to the nearest whole percent)