Question

A number is selected at random from the set {2, 3, 4, ... 10}. Which event, by definition, covers the entire sample space of this experiment?A. The number is greater than 2.B. The number is not divisible by 5.C. The number is even or less than 12.D. The number is neither prime nor composite.E. The square root of the number is less than 3.

Answer 1

We will have the following:

*We can see that 2 is part of the set and 2 is not greater than 2, so option A is not the solution.

*We can see that 5 and 10 are divisible by 5, so option B is not the solution.

*We can see that the numbers 2, 4, 6, 8 & 10 are even but the others are odd. The remaining are less than 12, thus option C is the solution.