Question

Select the correct answer. 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

C. The number is even or less than 12

Explanation:

Number 2 can be selected randomly and According to option A the number selected should be greater than 2.

B option is saying that the number is not divisible by 5 but the sample set contains { 2,3,4,5,6,7,8,9,10} . 5 and 10 can be selected and they are divisible by 5.

According to C even number can be selected or the numbers that are lesser than 12. The word "or" should be note here . Any number even or odd may be selected but it will be lesser than 12 so this will be the correct option.  

Every element of sample set is either prime or composite so the selected number can either be prime or composite

Square root of 9 is 3 and square root of 10 is greater than 3. Statement will not be correct if number 9 or number 10 got selected the