The Monty
Hall Problem

True Story: Travel Coincidence!
October 26th, 2015

Airplane Seats

It’s been a while since the last post. Here’s a situation that actually happened last weekend. My wife and I were flying home from a wedding and the first leg of our itinerary was by chance the same as the first leg of the itinerary of my wife’s sister, who lives in a different state. So, we were going to be on the same plane.

When we got on the plane, which had 12 rows with two seats on either side of the aisle, my wife’s sister was across the aisle from us in the same row! This whole circumstance occurred completely by chance. Since a lot of information needs to be collected to calculate the probability that we were on the same flight, we’ll take that as a given. Given that we were on the same flight, what is the probability that we were sitting next to each other on the flight? Assume that my wife and I will book two seats on the same side of the aisle and my wife’s sister will book an aisle seat.

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