SOLUTION: A survey was conducted at a local ballroom dance studio asking students if they had ever competed in the following dance categories: A: Smooth B: Rhythm C: Standard The results

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Question 854691: A survey was conducted at a local ballroom dance studio asking students if they had ever competed in the following dance categories:
A: Smooth
B: Rhythm
C: Standard
The results were then presented to the owner in the following Venn Diagram.
46 is Smooth ONLY (NOT RHYTHM, NOT STANDARD)
36 is Rhythm ONLY (NOT SMOOTH, NOT STANDARD)
11 is Standard ONLY (NOT SMOOTH, NOT RHYTHM)
40 is Smooth and Rhythm ONLY (NOT STANDARD)
22 is Smooth and Standard ONLY (NOT RHYTHM)
16 is Rhythm and Standard ONLY (NOT SMOOTH)
47 is Smooth,Rhythm,Standard (ALL THREE)
17 is none

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
A survey was conducted at a local ballroom dance studio asking students if they had ever competed in the following dance categories:
A: Smooth
B: Rhythm
C: Standard
The results were then presented to the owner in the following Venn Diagram.
d is Smooth ONLY (NOT RHYTHM, NOT STANDARD)
h is Rhythm ONLY (NOT SMOOTH, NOT STANDARD)
j is Standard ONLY (NOT SMOOTH, NOT RHYTHM)
e is Smooth and Rhythm ONLY (NOT STANDARD)
g is Smooth and Standard ONLY (NOT RHYTHM)
i is Rhythm and Standard ONLY (NOT SMOOTH)
f is Smooth,Rhythm,Standard (ALL THREE)
k is none

 Venn with 3 sets:



There were d+e+f+g+h+i+j+k students in the survey.

If a student is chosen at random, what is the probability that:
---------------
A student has competed in none of the categories?

Probability = 

A student has competed in Smooth, Rhythm, or Standard? is it .4266055046??


Probability = 

A student has competed in Smooth or Standard, but not Rhythm?

Probability = 

A student has competed in Rhythm and Standard, but not Smooth?

Probability = 

A student has competed in Rhythm, given you know the student has competed in
Smooth. 

Probability = 

Edwin
 

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