You Roll a Pair of Fair Dice B) C) D)

question 131

Multiple Choice

You roll a pair of fair dice.If you get a sum greater than 10 you win $50.If you get a double you win $40.If you get a double and a sum greater than 10 you win $90.Otherwise you win nothing. Create a probability model for the amount you win at this game.

• A) \[\begin{array} { l | c c c c }
• \text { Amount won } & \$ 0 & \$ 40 & \$ 50 & \$ 90 \\
• \hline \text { P(Amount won) } & \frac { 28 } { 36 } & \frac { 5 } { 36 } & \frac { 2 } { 36 } & \frac { 1 } { 36 }
• \end{array}\]
• B) \[\begin{array} { l | l l l }
• \text { Amount won } & \$ 0 & \$ 40 & \$ 50 \\
• \hline \mathrm { P } \text { (Amount won) } & \frac { 27 } { 36 } & \frac { 6 } { 36 } & \frac { 3 } { 36 }
• \end{array}\]
• C) \[\begin{array} { l | c c c c }
• \text { Amount won } & \$ 0 & \$ 40 & \$ 50 & \$ 90 \\
• \hline \text { P(Amount won) } & \frac { 27 } { 36 } & \frac { 5 } { 36 } & \frac { 3 } { 36 } & \frac { 1 } { 36 }
• \end{array}\]
• D) \[\begin{array} { l | c c c c }
• \text { Amount won } & \$ 0 & \$ 40 & \$ 50 & \$ 90 \\
• \hline \text { P(Amount won) } & \frac { 26 } { 36 } & \frac { 6 } { 36 } & \frac { 3 } { 36 } & \frac { 1 } { 36 }
• \end{array}\]
• E) \[\begin{array} { l | c c c c }
• \text { Amount won } & \$ 0 & \$ 40 & \$ 50 & \$ 90 \\
• \hline \text { P(Amount won) } & \frac { 27 } { 36 } & \frac { 6 } { 36 } & \frac { 2 } { 36 } & \frac { 1 } { 36 }
• \end{array}\]

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Definitions:

Psychoanalysis

A therapeutic approach developed by Freud that focuses on exploring unconscious conflicts and desires, primarily through patient-therapist dialogue.

Manifest Content

The actual literal content and storyline of a dream as remembered by the dreamer.

Latent Content

The hidden psychological meaning of a dream, as opposed to what the dream actually depicts.

Person-Centered Therapy

A counseling approach emphasizing the client's capacity for self-direction and understanding of their own environment.