In a study of fans arriving at a sports event, we record the gender of each fan,

Question

In a study of fans arriving at a sports event, we record the gender of each fan, whether the fan is younger or older than 30 years, and whether or not

the fan is a season ticket holder. We find that 65% of the fans are male, 25% of the fans are younger than 30 years of age, 30% of the fans are females older than 30 years of age

who are season ticket holders, and 3% of the fans are females younger than 30 years of age. What proportion of the fans are females older than 30 years of age who are not season ticket

holders?

Explanation / Answer

Solution:- Proportion of females fans older than 30 years of age who are not season ticket holders = 2/100 = 0.02

Total percentage of male fans = 65%

Percentage of female fans = 100 - 65 = 35%

Percentage of females who are younger than 30 years of age = 3%

Percentage of females who are older than the 30 years of age = 35 - 3 = 32%

Percentage of  females fans older than 30 years of age who are season ticket holders = 30%

Percentage of females fans older than 30 years of age who are not season ticket holders = 32 - 30 = 2%

Proportion of females fans older than 30 years of age who are not season ticket holders = 2/100 = 0.02

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