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?
O A.
O B.
O C.
OD.
The number is even or less than 12.
The number is not divisible by 5.
The number is neither prime nor composite.
The number is greater than 2.
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Answer 1

The sample space for this experiment is the set {2, 3, 4, 5, 6, 7, 8, 9, 10}.

The event that covers the entire sample space is option D, "The number is greater than 2." This is because every number in the sample space is greater than 2.

Option A, "The number is even or less than 12," does not cover the entire sample space because 9 and 10 are not even and 10 is greater than 12.

Option B, "The number is not divisible by 5," does not cover the entire sample space because 5 and 10 are both divisible by 5.

Option C, "The number is neither prime nor composite," does not cover the entire sample space because 2 and 3 are prime numbers.

Therefore, the correct answer is D.