Question

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.

11109781465SmoothRhythmStandard[Graphs generated by this script: initPicture(-5.5,5.5,-5.5,5.5);fill='transred';circle([0,-1.7],3);fill='transgreen';circle([2,2],3);fill='transblue';circle([-2,2],3);text([-2.2,2.7],'11');text([2.2,2.7],'10');text([0,-2.8],'9');text([0,2.2],'7');text([-1.5,-.2],'8');text([1.5,-.2],'14');text([0,.6],'6');text([4,-4],'5');text([-2.3,3.85],'Smooth');text([2.3,3.85],'Rhythm');text([0,-1.5],'Standard');]

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) = %

Answer 1

Answer:

Samaj ma nai Aaaa raha ha