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Provide an Appropriate Response If a Student Is Selected at Random, Find the Probability

question 25

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Provide an appropriate response.
-A group of students were asked if they carry a credit card. The responses are listed in the table.  Class  Credit Card  Carrier  Not a Credit Card  Carrier  Total  Freshman 402060 Sophomore 251540 Total 6535100\begin{array} { l | c | c | c } { \text { Class } } & \begin{array} { c } \text { Credit Card } \\\text { Carrier }\end{array} & \begin{array} { c } \text { Not a Credit Card } \\\text { Carrier }\end{array} & \text { Total } \\\hline \text { Freshman } & 40 & 20 & 60 \\\text { Sophomore } & 25 & 15 & 40 \\\text { Total } & 65 & 35 & 100\end{array} If a student is selected at random, find the probability that he or she owns a credit card given that the student is a freshman. Round your answer to three decimal places.

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Definitions:

Researchers

Individuals who conduct studies and investigations to discover new information and insights.

Pre-existing Groups

Groups in research studies that are formed based on characteristics or conditions present before the study, not created by the researcher.

Nonequivalent Control Group Design

An experimental design in which the control group is not randomly selected or assigned, potentially allowing for confounding variables.

Randomly Assign

The process of assigning study participants or experimental elements to different groups using a method based on chance.

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