Q2 of 2 Page 311

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?

1. The number is greater than 2.


2. The number is not divisible by 5.


3. The number is even or less than 12.


4. The number is neither prime nor composite.


5. The square root of the number is less than 3.

1. 2 is a part of the set but 2 is not greater than 2. So this is an invalid number.


2. 10 in the set and divisible by 5. So this is also invalid.


3. 2, 4, 10 are even and less than 12. So this condition satisfied.


4. 0 and 1 are the only numbers that are neither prime nor composite (they're not even part of the set). So this is also an invalid number.


5. The square root of 9 is 3 so the maximum number is 9. So this is an invalid number because the square root of 10 is greater than 3.


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