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At the county fair, Francesca is waiting her turn at a spinner where she can win a prize. The spinner is divided into 55 unequal sections labeled pinwheel, bracelet, hat, sunglasses, and beach ball. Here are the spinner results of the people in line in front of Francesca:\newline\newlinehat, bracelet, sunglasses, hat, pinwheel, beach ball, bracelet, hat\newlineBased on the data, what is the probability of the spinner landing on bracelet during Francesca's turn?\newlineWrite your answer as a fraction or whole number.\newline\newline____\newline

Full solution

Q. At the county fair, Francesca is waiting her turn at a spinner where she can win a prize. The spinner is divided into 55 unequal sections labeled pinwheel, bracelet, hat, sunglasses, and beach ball. Here are the spinner results of the people in line in front of Francesca:\newline\newlinehat, bracelet, sunglasses, hat, pinwheel, beach ball, bracelet, hat\newlineBased on the data, what is the probability of the spinner landing on bracelet during Francesca's turn?\newlineWrite your answer as a fraction or whole number.\newline\newline____\newline
  1. Count Total Outcomes: Count the total number of outcomes in the given data: hat, bracelet, sunglasses, hat, pinwheel, beach ball, bracelet, hat. Total outcomes = 88.
  2. Count Bracelet Occurrences: Count the number of times "bracelet" appears in the data: bracelet appears 22 times.
  3. Calculate Probability: Calculate the probability: Probability = Number of favorable outcomes (bracelet) / Total outcomes = 28\frac{2}{8}.
  4. Simplify Fraction: Simplify the fraction: 28=14.\frac{2}{8} = \frac{1}{4}.