Determine the Sample Space for the Experiment $D$ Where the Marbles Are Not Replaced and the Order of Selected

question 42

Multiple Choice

Determine the sample space for the experiment.
Two marbles are selected from marbles labeled A through $D$ where the marbles are not replaced and the order of selection does not matter.

• A) \(S = \{ \mathrm { AB } , \mathrm { AC } , \mathrm { AD } , \mathrm { BC } , \mathrm { BD } \}\)
• B) \(S = \{ \mathrm { AB } , \mathrm { AC } , \mathrm { AD } , \mathrm { BC } , \mathrm { BD } , \mathrm { CD } \}\)
• C) \(S = \{ \mathrm { AB } , \mathrm { AC } , \mathrm { AD } , \mathrm { BC } , \mathrm { CD } \}\)
• D) \(S = \{ \mathrm { AB } , \mathrm { AC } , \mathrm { AD } , \mathrm { BC } , \mathrm { BD } , \mathrm { CD } , \mathrm { DA } \}\)
• E) \(S = \{ \mathrm { AB } , \mathrm { AC } , \mathrm { AD } , \mathrm { BC } , \mathrm { BD } , \mathrm { CA } , \mathrm { CB } , \mathrm { CD } \}\)

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Definitions:

Marginal Costs

The added cost of producing one additional unit of a product or service.

Indifferent

A state of having no preference between two or more options, showing neither favor nor disfavor.

Variable Costs

Costs that vary directly with the level of production or sales volume.

Average Costs

The total costs (fixed and variable) of production divided by the total quantity of output, indicating the cost of producing each unit.