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Danielle makes fluffy stuffed animals to give to local charities. She has a container of 500500 googly eyes in different sizes that she sews onto the animals. She randomly selects 2828 googly eyes from the container and gets 1212 small, 99 medium, and 77 large eyes.\newlineBased on the data, what is the probability that the next googly eye Danielle selects will be large?\newlineWrite your answer as a fraction or whole number.

Full solution

Q. Danielle makes fluffy stuffed animals to give to local charities. She has a container of 500500 googly eyes in different sizes that she sews onto the animals. She randomly selects 2828 googly eyes from the container and gets 1212 small, 99 medium, and 77 large eyes.\newlineBased on the data, what is the probability that the next googly eye Danielle selects will be large?\newlineWrite your answer as a fraction or whole number.
  1. Identify Eyes Selected: Identify the total number of large googly eyes and the total number of googly eyes selected.\newlineDanielle selected 77 large googly eyes out of 2828 total eyes.
  2. Calculate Probability: Calculate the probability of selecting a large googly eye.\newlineProbability = Number of large eyesTotal number of eyes selected\frac{\text{Number of large eyes}}{\text{Total number of eyes selected}}\newlineProbability = 728\frac{7}{28}
  3. Simplify Fraction: Simplify the fraction to find the final probability. 728\frac{7}{28} equals 14\frac{1}{4}.

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