Select the correct answer. A number is selected at random from the set {2, 4, 6, 8, 10}. Which event, by definition, covers the en

Question

Select the correct answer. A number is selected at random from the set {2, 4, 6, 8, 10}. Which event, by definition, covers the entire sample space of this experiment? A. The number is greater than 2. B. The number is not divisible by 5. C. The number is even and less than 12. D. The number is neither prime nor composite. E. The square root of the number is less than 3.

Acacia · Answer

The event   the number is even and less than 12  covers the entire  sample space  of this experiment.     What is sample space?   In  probability  theory, the set of all feasible outcomes or outcomes of an experiment or random trial is referred to as the  sample space . The sample points, or potential ordered outcomes, are listed as elements in the set used to represent the  sample space .    Given:   A number is selected at random from the set {2, 4, 6, 8, 10}.    Let's examine each instance:  A. There are more than two.  When we get number 2, this  does not apply to the situation . 2 is equal to 2 and not greater, therefore.    B. The number is not divisible by 5, whereas 10 and 5 are. As a result, the sample space is not completely covered.    C. It's an even number or less than 12.  Let's note that every number from '2, 4, 6, 8, 10' is less than 12, indicating that the event's even portion has no bearing. This  encompasses the whole sample area .    D. Neither the number is prime nor is it a composite.  There cannot be a number that is neither prime nor composite because they are mutually exclusive terms in mathematics. No number of the set is covered by this event.    E. The number's square root is less than 3.  This excludes the number 10, whose square root is approximately 3,16, which is greater than 3.    Hence, the event   the number is even and less than 12  covers the entire  sample space  of this experiment.    To know more about  sample space , click on the link  https://brainly.com/question/29719992  #SPJ1

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