Student Participation and Probability Analysis

The video tutorial explains how to use a Venn diagram to calculate probabilities of students competing in different dance categories at a ballroom dance studio. It covers the calculation of probabilities for students competing in 'smooth', 'rhythm and standard', 'smooth or standard', and 'not smooth'. Each probability is expressed as a percentage rounded to the tenths, with detailed steps on how to convert fractions to decimals and then to percentages.

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

• 50

• 75

• 100

• 67

How is the probability of students competing in 'Smooth' expressed as a percentage?

• 50.0%

• 70.0%

• 61.2%

• 41.0%

What is the total number of students who competed in 'Smooth'?

• 41

• 36

• 26

• 51

What is the probability of students competing in both 'Rhythm' and 'Standard' categories?

• 56/67

• 41/67

• 28/67

• 19/67

What percentage represents the probability of students competing in both 'Rhythm' and 'Standard'?

• 18.4%

• 28.4%

• 48.4%

• 38.4%

How many students competed in either 'Smooth' or 'Standard' categories?

• 56

• 51

• 46

• 41

What is the probability of students competing in either 'Smooth' or 'Standard' expressed as a percentage?

• 73.6%

• 83.6%

• 93.6%

• 63.6%

How many students did not compete in the 'Smooth' category?

• 36

• 21

• 26

• 31

What is the probability of students not competing in 'Smooth' expressed as a percentage?

• 58.8%

• 48.8%

• 38.8%

• 28.8%

Which method is used to find the probability of students not competing in 'Smooth'?

• Dividing by total

• Subtracting from total

• Adding all categories

• Multiplying probabilities