Question

You take the train with 2 friends. You can either take the North train or the South. You each choose independently what train to take. What is your sample space?

Answer 1

In probability theory, the sample space of an experiment or random trial is the set of all possible outcomes or results of that experiment.

Let us write North train as N and south train as S. Now the order is first you then your first friend and then 2nd friend. So, for example, NSN - it means you have taken the north train, your first friend has taken the south train and your second friend has taken the north train.

Total outcomes = 2³ = 8

Sample space - { NNN,SNN,NSN,NNS,SSN,NSS,SNS,SSS }