Ballroom Dance Survey Probabilities

The video tutorial explains how to use a Venn diagram to determine probabilities of students competing in different dance categories at a ballroom dance studio. It covers conditional probabilities, such as the probability of competing in rhythm given participation in smooth or standard categories. The tutorial provides step-by-step calculations, converting probabilities to percentages, and emphasizes understanding conditional probability through practical examples.

What method was used to determine probabilities in the ballroom dance survey?

• Line Graph

• Pie Chart

• Venn Diagram

• Bar Graph

What is the probability that a student competed in rhythm given they competed in smooth?

• 50.0%

• 54.3%

• 46.7%

• 41.9%

How many students competed in both smooth and rhythm?

• 25

• 14

• 36

• 11

What is the probability that a student competed in rhythm given they competed in standard?

• 54.3%

• 41.9%

• 50.0%

• 46.8%

How many students competed in both standard and rhythm?

• 29

• 36

• 25

• 18

What is the probability that a student competed in standard given they competed in rhythm?

• 50.0%

• 41.9%

• 54.3%

• 46.8%

How many students competed in rhythm?

• 43

• 46

• 36

• 62

What is the probability that a student competed in rhythm given they competed in smooth or standard?

• 54.3%

• 41.9%

• 50.0%

• 46.8%

How many students competed in smooth or standard?

• 36

• 46

• 62

• 43

What is the total number of students surveyed at the ballroom dance studio?

• 70

• 62

• 46

• 43