# (Probability) A Thanksgiving Puzzle

/## Happy Gobble Gobble Day!

It’s Thanksgiving Day and you’re hosting dinner for your large extended family of 30 people. In the interest of organization, you’ve assigned seats by setting name-tags for each person around the table. But when everybody goes to sit down at the table, there’s a problem: Great Uncle Cornelius, who is ancient, has already sat down. Being a bit senile, he has forgotten his own name and just picked a seat at random!

Not wanting to disturb him, everybody decides to just let him stay there. Each person, as they come to the table, will sit at their own seat if it is available, but if it is not, they will just pick a seat at random from the ones that are left. You, being the host, are the last one to sit down.

What is the probability that you’ll sit at your correct place?