# Train seating assignment

## Question

Suppose you're riding on a train with the following configuration:

• The first 2 train cars contain 2 seats per row, one on each side of the aisle (first class)
• The next 4 train cars contain 4 seats per row, 3 on each side of the aisle (business class)
• The last 10 train cars contain 6 seats per row, 3 on each side of the aisle (economy class)
• Each train car contains 5 rows, for a total of 80 (16*5) rows in the entire train

The tickets on the train are given in the format row number - seat letter (where the seat letter runs from A-F (for the potential 6 seats per row as configured in economy). For example, the far left seat in the first row of the first car would be 1-A, while the far right seat in the last row of the last car would be 80-F.

You're told you have a window seat but are not given the specific row or seat letter. Given this information, calculate the probability distribution of your potential ticket seat letters.

## Solution

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