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.

4
9
11
13
8
15
6
5
Smooth
Rhythm
Standard
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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.
(Rhythm
Smooth) =
61.3
Correct%
If a student is chosen at random, what is the probability that the student competed in Rhythm GIVEN they had competed in Standard.
(Rhythm
Standard) =
52.5
Correct%
If a student is chosen at random, what is the probability that the student competed in Standard GIVEN they had competed in Rhythm.
(Standard
Rhythm) =
48.8
Correct%
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.
(Rhythm
Smooth or Standard)