A survey was conducted at a local ballroom dance studio asking 71 students if they had ever competed in the following dance categories: - Smooth - Rhythm - Standard The results were then presented to the owner in the following Venn Diagram. Use the Venn Diagram to determine the following probabilities. Write your answers in decimal form, rounded to the nearest hundreth. A. If a student is chosen at random, what is the probability that the student competed in Rhythm GIVEN they had competed in Smooth. P (Rhythm | Smooth) is equal to \( \square \) B. If a student is chosen at random, what is the probability that the student competed in Rhythm GIVEN they had competed in Standard. \( \mathrm{P}( \) Rhythm | Standard \( ) \) is equal to \( \square \) C. If a student is chosen at random, what is the probability that the student competed in Standard GIVEN they had competed in Rhythm. \( \mathrm{P}( \) Standard | Rhythm ) is equal to \( \square \) D. If a student is chosen at random, what is the probability that the student competed in Rhythm GIVEN they had competed in Smooth or Standard. P (Rhythm | Smooth or Standard) is equal to \( \square \)
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However, I can explain how to calculate these probabilities if you have the Venn Diagram. A. P (Rhythm | Smooth) is the probability of a student having competed in Rhythm given they had competed in Smooth. To calculate this, you would divide the number of Show more…
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A survey was conducted at a local ballroom dance studio asking students if they had ever competed in the following dance categories: - Smooth - Rhythm - Standard The results were then presented to the owner in the following Venn Diagram. If a student is chosen at random, what is the probability that: Write your answers in percent form. Round to the nearest tenth of a percent. a) The student has competed in none of the categories? % b) The student has competed in all three of these categories? % c) The student has competed in Smooth or Standard, but not Rhythm? % d) The student has competed in Rhythm and Standard, but not Smooth? % e) The student has competed in Rhythm. %
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A survey was conducted at a local ballroom dance studio asking students if they had ever competed in the following dance categories: Smooth, Rhythm, or Standard. The results were then presented in the following Venn Diagram. Determine the following probabilities. Write your answers in percent form, rounded to the nearest tenth.
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