Probability of a seat being vacant?

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SUMMARY

The probability of a specific seat being vacant in a room with 60 people and 180 seats is calculated by considering the number of vacant seats. With 120 vacant seats, the probability that any given seat is unoccupied is 120 out of 180, simplifying to a probability of 2/3 or approximately 66.67%. This straightforward calculation assumes that each person randomly selects from the available seats.

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Probability of a seat being vacant??

Say there are 60 people in a 180-seat room. What's the probability that a particular seat will be vacant?
 
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You need to give some more info.
In the simplest case, you can assume that each of the 60 people is equally likely to pick any empty seat, and that every one of them will be seated.
In that case, 120 out of 180 seats are vacant and the probability for each of them is equal, leading to a very simple probability.
 


Yeah, I had a DOH! moment shortly after I posted this thread 'cause I realized that the answer was simple. Thanks anyways.
 

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