Use the Venn Diagram to determine the following probabilities.

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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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.

 

Use the Venn Diagram to determine the following probabilities. Write your answers in percent form, rounded to the nearest tenth.

 

Smooth
Rhythm
14
7
10
11
9.
Standard
15
8
Use the Venn Diagram to determine the following probabilities. Write your answers in percent form,
rounded to the nearest tenth.
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) =
If a student is chosen at random, what is the probability that the student competed in Rhythm GIVEN
they had competed in Standard.
P(Rhythm | Standard) =
If a student is chosen at random, what is the probability that the student competed in Standard
GIVEN they had competed in Rhythm.
P(Standard | Rhythm) =
%
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) =
de
Transcribed Image Text:Smooth Rhythm 14 7 10 11 9. Standard 15 8 Use the Venn Diagram to determine the following probabilities. Write your answers in percent form, rounded to the nearest tenth. 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) = If a student is chosen at random, what is the probability that the student competed in Rhythm GIVEN they had competed in Standard. P(Rhythm | Standard) = If a student is chosen at random, what is the probability that the student competed in Standard GIVEN they had competed in Rhythm. P(Standard | Rhythm) = % 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) = de
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