A spinner is divided into four equal sections labeled A, B, C, and D. What is the sample space for this experiment?

Rationale

The sample space for this experiment is {A, B, C, D}.

In probability, the sample space is the set of all possible outcomes of an experiment. For a spinner divided into four equal sections labeled A, B, C, and D, the complete list of possible outcomes is represented by the set {A, B, C, D}.

A ({A, B, C, D, E}) YOUR ANSWER

This option incorrectly includes an extra section labeled E, which does not exist on the spinner. The sample space must consist only of the outcomes present in the experiment, thus making this choice invalid.

B ({1, 2, 3, 4}) YOUR ANSWER

This representation uses numerical labels instead of the actual labels A, B, C, and D. The sample space should directly reflect the labels on the spinner rather than assigning arbitrary numbers, making this choice incorrect.

C ({A, B, C, D}) CORRECT

This is the correct representation of the sample space. It accurately lists all the possible outcomes of spinning the spinner, corresponding directly to the sections present on the spinner.

D ({AB, CD}) YOUR ANSWER

This option combines the outcomes into pairs rather than listing them individually, which does not reflect the sample space correctly. The sample space should enumerate all distinct outcomes, thus making this grouping incorrect.

Conclusion

The sample space is a fundamental concept in probability that lists all possible outcomes of an experiment. For the spinner labeled A, B, C, and D, the accurate sample space is {A, B, C, D}. Other options either introduce non-existent outcomes, use incorrect representations, or combine outcomes, leading to misinterpretation of the experiment's results. Understanding the proper sample space is essential for accurately analyzing probabilities in any experiment.

A spinner is divided into four equal sections labeled A, B, C, and D. What is the sample space for this experiment?

The sample space for this experiment is {A, B, C, D}.

Related Questions

Related Quizzes

How familiar were you with this question?

Report an Issue

Rate this Practice Test