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?

OA. The number Is greater than 2.
O B. The number Is not divisible by 5.
O C. The number Is even or less than 12.
O D. The number is nelther prime nor composite.
O E. The square root of the number Is less than 3.
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Answer 1

This is the list of choices that accompany that question:

A) The number is greater than 2. ---> FALSE BECAUSE IT INCLUDES GREATER THAN 10, AND 10 IS THE LAST NUMBER OF THE SET.

B) The number is not divisible by 5. ----> FALSE BECAUSE 10 IS DIVISIBLE BY 5.

C) The number is even or less than 12. ---> THIS CAN BE RIGHT BECAUSE 1) ALL THE NUMBERS SHOWN ARE EITHER EVEN OR LESS THAN 12 AND THE DEFINITION, AND 2) THE DEFINITION DOES NOT INCLUDE A NUMBER OUT OF THE NUMBERS SHOWN.

D) The number is neither prime nor composite. ---> FALSE BECAUSE ANY NUMBER IS EITHER PRIME OR COMPOSITE.

E) The square root of the number is less than 3. ---> FALSE BECAUSE THE SQUARE ROOT OF 10 IS GREATER THAN 2.