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

Tags

CCSS.6.SP.A.2

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

• 50.0%

• 70.0%

• 61.2%

• 41.0%

Tags

CCSS.1.NBT.A.1

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

• 41

• 36

• 26

• 51

Tags

CCSS.8.SP.A.4

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

• 56/67

• 41/67

• 28/67

• 19/67

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

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

• 18.4%

• 28.4%

• 48.4%

• 38.4%

Tags

CCSS.HSA.CED.A.3

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

• 56

• 51

• 46

• 41

Tags

CCSS.HSS.CP.B.7

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

• 73.6%

• 83.6%

• 93.6%

• 63.6%

Tags

CCSS.8.SP.A.4

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

• 36

• 21

• 26

• 31

Tags

CCSS.7.SP.C.5

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

• 58.8%

• 48.8%

• 38.8%

• 28.8%

Tags

CCSS.7.SP.C.7B

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

Tags

CCSS.7.SP.C.7B