Question

3. I sit at the corner of the street and I randomly stop people walking by until I find one whose birthday is April 1, Describe the space of potential outcomes. Ω, for this random experiment. Is Ω finite or infinite? Is it countable or uncountable?

Answer 1

Answer to the question)

The sample space will consists of all the people who do not have their birthdate as 1st April and the last unit or subject would be the person whose date of birth is first of April.

This sample space is going to be finite

P(first April as birth date) = 1/365

Hence it is not practically impossible to get someone who was born on 1st of April

it is just that it may take many more people to reach that one correct person

Thus we consider the sample space to be finite

Obviously since we are dealing with the people walking by the street , the sample space consists of discrete observations and hence is considered to be countable