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What is the Probability of Candy Being Not Perfect?

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Problem/Question

What candy has the highest probability of not being perfect either being oddly shaped, no logo or having a mistyped logo?

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Hypothesis/Conjecture

I think believe the candy in group D will have the most probability of having errors because chocolate has more of a chance of melting in heat, and we live in hot Florida.

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Materials

1 pencil

1 notebook

1 box of latex gloves

16 Paper Plates

4 Different types of round candies

  • Group A - Mint Candy (477 total)
  • Group B- Sugar / Fruit Flavored Candy (311 total)
  • Group C Peanut Butter Candy (1,631 total)
  • Group D - Chocolate Candy (485 total)

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Procedure

The first thing I did was had my parents buy three bags each of the four candy types. Then I opened first type of candy - Group A - and sorted through the candies to see if any were oddly shaped, had no logo or the logo had a typo. Each group was separated into the four categories. Then each category in each group was counted. This counting process was repeated for each group of candies - Group A, Group B, Group C and Group D - three times each time with a new bag of candy.

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Procedure

I counted each category for each Group and wrote down the numbers in my notebook. I then took all my data and inputted them into a chart to create the bar graphs so I could see my conclusions.

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Data

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Candies with errors in Group C during first count.

Group A candies with errors during second count.

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Data

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One miss shaped candy from Group A, and one typo in the logo on a Group A candy.

Seperating the cadies in Group D into different categories.

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Conclusion and Proofs

I conclude that Group A had the most errors both with odd shapes of the candy and with misprints of the logo. If you look at the data charts, you can see Group A the most errors compared to their total amount. I believe the mint coating on this candy led to these errors.

Group C had the least amount of errors because 1., they had no logo on the candy, and 2., for the amount of candies they had in each bag, they had the least amount of oddly shaped candies. Their quality control was the best of all the candies.

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Real World Connection

This science project has helped me understand the probability of product quality mainly with candies, but if I want to use a high quality candy for a gift, I know not to buy anything with a mint coating.