Question

A number is selected at random from the set {2, 4, 6, 8, 10}. Which event, by definition, covers the entire sample space of this experiment?

Answer 1

The event that covers the entire sample space of the experiment is the event that a number is selected from the set {2, 4, 6, 8, 10}.

The sample space for the experiment of selecting a number at random from the set {2, 4, 6, 8, 10} is {2, 4, 6, 8, 10}. An event that covers the entire sample space is an event that includes all the possible outcomes.

In this case, the event that covers the entire sample space is the event that a number is selected from the set {2, 4, 6, 8, 10}.

So, the event that covers the entire sample space is the event that a number is selected from the set {2, 4, 6, 8, 10}.