Method of sampling

If 25 people sign up for a workshop which has room for only 10, the naive way to select 10 is to put 25 numbers in a hat and choose 10 (assuming each person has an assigned number based on the order in which they signed up). However, it is easier to choose only one number from 1 to 25 and permit that person and the 9 which follow (in circular order) to join. This gives each individual an equal chance of winning a place, although of course not every group of individuals is possible. Does anyone know the name for this type of sampling?


TS Contributor
this a pretty big if. I mean all sorts of correlation are possible in the list so with this method there would be a high risk of bias.