Question

Trisha is planning her 13th birthday party. She has to choose a theme from these five options: the 70s, gothic, Arabian nights, black tie, and board shorts. To choose the theme, she decides to select a marble from a bag that contains green, pink, yellow, blue, and red marbles. To check the validity of her model, she repeats this 50 times, replacing the marble before her next pick. The table shows her results. Party Theme Marble Color Times Selected The 70s green 12 gothic pink 9 Arabian nights yellow 11 black tie blue 10 board shorts red 8 Is Trisha’s model a fair representation for choosing the theme?

Answer 1

Yes, Trisha’s model a fair representation for choosing the theme

Answer 2

No, it's an unfair model because the outcomes have different relative frequencies.

This means that chances of selecting the five options from the themes do not have the same relative frequency or probability.

Table given is

having frequencies as 12, 9, 11, 10, 8

Because relative frequencies are 0.24,0.18,0.22,0.20,0.16