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?
The number is greater than 2.
The number is not divisible by 5.
The number is even or less than 12.
The number is neuther prime nor composite.
The square root of the number is less than 3.
Is it the first only? Thats the only one I can think of.

Question

15-07-2014
Mathematics

Answered

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?
The number is greater than 2.
The number is not divisible by 5.
The number is even or less than 12.
The number is neuther prime nor composite.
The square root of the number is less than 3.
Is it the first only? Thats the only one I can think of.

Answer :

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arewar arewar · Answer 1 · 2015-09-11T16:04:14-04:00

Is "None" an option? All of these answers are wrong.

The number is greater than 2. - 2 is not less than 2.
The number is not divisible by 5. - 2,3,4 are not divisible by 5.
The number is even or less than 12. - 3 is not even.

The number is neuther (assuming neither) prime nor composite. - 4 is not prime. But all numbers are either prime or composite, so was this typed incorrect?

The square root of the number is less than 3 - Root of 10 is 3.16