A Carnival Game Offers A(n)$80 Cash Prize for Anyone Who

question 136

Multiple Choice

A carnival game offers a(n) $80 cash prize for anyone who can break a balloon by throwing a dart at it.It costs $5 to play and you're willing to spend up to $20 trying to win.You estimate that you have a(n) 10% chance of hitting the balloon on any throw. Create a probability model for the number of darts you will throw.Assume that throws are independent of each other.Round to four decimal places if necessary.

• A) \[\begin{array} { l | c r c c }
• \text { Number of Darts } & 1 & 2 & 3 & 4 \\
• \hline \text { P(Number of Darts) } & 0.1 & 0.09 & 0.0810 & 0.0656
• \end{array}\]
• B) \[\begin{array} { l | c c c }
• \text { Number of Darts } & 1 & 2 & 3 \\
• \hline \text { P(Number of Darts) } & 0.1 & 0.09 & 0.0810
• \end{array}\]
• C) \[\begin{array} { l | c c c c c }
• \text { Number of Darts } & 1 & 2 & 3 & 4 & 5 \\
• \hline \mathrm { P } \text { (Number of Darts) } & 0.1 & 0.09 & 0.0810 & 0.7290 & 0.0656
• \end{array}\]
• D) \[\begin{array} { l | c r c c }
• \text { Number of Darts } & 1 & 2 & 3 & 4 \\
• \hline \text { P(Number of Darts) } & 0.1 & 0.09 & 0.0810 & 0.7290
• \end{array}\]
• E) \[\begin{array} { l | c r c c }
• \text { Number of Darts } & 1 & 2 & 3 & 4 \\
• \hline \mathrm { P } ( \text { Number of Darts } ) & 0.1 & 0.1 & 0.1 & 0.7
• \end{array}\]

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Definitions:

Scientific Reasons

Explanations or justifications for phenomena, based on empirical evidence and logical reasoning as per the scientific method.

Somatic Symptom Disorder

A mental disorder in which a person has physical symptoms that involve multiple bodily systems, which are not explained by any medical condition and cause significant distress.

Panic Disorder

A psychiatric disorder characterized by unexpected and repeated episodes of intense fear accompanied by physical symptoms that may include chest pain, heart palpitations, or shortness of breath.

Panic Disorder

A psychiatric disorder marked by sudden and repeated episodes of intense fear or discomfort, known as panic attacks, often without apparent cause.