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{ "quality": "blurry", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Odds of an Event" ], "new_concepts": [], "current_concepts": [ "Odds of an Event", "Classical Probability" ] } ## Identify successful and unsuccessful outcomes Using the *Odds of an Event* knowledge point $$ \begin{aligned} &\text{Total cards} = 52\ &\text{Clubs} = 13\ &\text{Successful outcomes (not a club)} = 52 - 13 = 39\ &\text{Unsuccessful outcomes (is a club)} = 13 \end{aligned} $$ ## Calculate the odds of the event Using the *Odds of an Event* knowledge point $$ \begin{aligned} &\text{Odds} = \frac{\text{Successful outcomes}}{\text{Unsuccessful outcomes}} = \frac{39}{13} = \frac{3}{1}\ &\text{Odds ratio} = 3:1 \end{aligned} $$ The odds that it is not a club are $3:1$ (Simplify your answer). { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Odds of an Event" ] }

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Identify successful and unsuccessful outcomes

Calculate the odds of the event

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