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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

Answered by arewar | 2024-06-10

The number is even or less than 12 is the event by definition, covers the entire sample space of this experiment. So option (c) is correct.
To determine which event covers the entire sample space, let's analyze each option:
"The number is greater than 2": This includes 3, 4, and 10. It doesn't include 2.
"The number is not divisible by 5": This includes 2, 3, 4, but not 10.
"The number is even or less than 12": This includes 2, 3, 4, and 10. It covers the entire sample space because all numbers in the set satisfy this condition.
"The number is neither prime nor composite": This would include 4 and 10 only, as they are neither prime nor composite. However, this doesn't cover the entire sample space.
"The square root of the number is less than 3": This includes 2, 3, and 4. It doesn't include 10.
Thus, the event "The number is even or less than 12" covers the entire sample space because it includes all the numbers in the set {2, 3, 4, 10}. Therefore, this event, by definition, covers the entire sample space of this experiment.

Answered by misbaira | 2024-06-24

The event that covers the entire sample space of the set { 2 , 3 , 4 , 10 } is option C: 'The number is even or less than 12.' This is because all numbers in the set satisfy this condition. All other options fail to include at least one of the numbers from the sample space.
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Answered by arewar | 2024-10-01

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Answered by Afkariim | 2025-07-06