>>7910185Every person coming in has a 1/100 chance of being your seatowner, but theres also a 1/100 chance that you sat in your own seat, since this is a story lets keep that 1/100 of sitting in your own seat at the front of our minds.
Every time soneone comes in it changes the probability that its your seatowner- for conveniences sake lets say that it statisrically would be the 49th or 50th person to board whose seat youre in. At that point the chance becomes 1 in 49 or 50 that the next person to come in has their seat taken, and for convenience's sake lets say that its the 24th or 25th person. The same logic follows to 12 or 13, then 5 or 6, then 2 or 3.
Realistically, (and im being nonprecise) the number of people who are inconvenienced is about equal to the number of times you can split 100 before reaching 1. 100-50-25-12.5-6.25-3.125-1.5625
So the chance is 5 or 6 out of 100, with an added 1/100 that you picked your own seat, so 6 or 7 out of 100 or about 6.5%
If this were a multiple choice question I would choose the answer closest to 5.5/100, under the presupposition thatbthe designer of the question was too stupid to consider the probability of sitting in one's own seat at random
