Hello,
In order to conclude that winning a loto is independent on the number of people playing the lotto requires one assumption that the set of numbers does not increase when there are more people.
For e.g. - for first week there are 100 participants, so numbers 1 to 100 are distributed among the participants and out of those 100, five numbers are lucky numbers.
Now, suppose in second week, the number of participants is increased to 1000, so now numbers 1 to 1000 are distributed among the
...
In order to conclude that winning a loto is independent on the number of people playing the lotto requires one assumption that the set of numbers does not increase when there are more people.
For e.g. - for first week there are 100 participants, so numbers 1 to 100 are distributed among the participants and out of those 100, five numbers are lucky numbers.
Now, suppose in second week, the number of participants is increased to 1000, so now numbers 1 to 1000 are distributed among the
...

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