 # M&M Experiment Which color are you most likely to get?

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M&M Experiment Which color are you most likely to get?
Take out a sheet of paper and pen or pencil.

Amount of colored candies
Step 1 Count the number of total candies. Count the number of candies for each color. CHART 1 Amount of colored candies Total Candies Yellow Red Green Blue Orange Brown

Amount of colored candies
Step 2 Extend chart to convert the number of candies for each color into a fraction, decimal, & percent! My M&M’s Data CHART 1 Amount of colored candies Total Candies Fraction Decimal Percent Yellow Red Green Blue Orange Brown

Analyze your results by responding to the following questions.
Step 3 Analyze your results by responding to the following questions. According to your results, which color is most likely? Which color is least likely? What is the sample space for picking an M&M in your package? Is picking a blue or orange candy more likely? Why? Do you have any colors that have equally likely outcomes? Explain! A) What is the probability of picking an orange M&M? B) What is the probability of picking an orange or a yellow M&M? C) What is the probability of not picking an orange M&M? D) What is the probability of not picking an orange or a yellow M&M? Did we calculate and examine theoretical or experimental probability? How do you know? Elaborate!!!

Step 4 According to the M&M website, each package of milk chocolate M&M contains… 24% Blue 14% Brown 16% Green 20% Orange 13% Red 14% Yellow Create a chart to show the amount of each color of candy that should be in your package!

Total Candies in Package Amount of Colored Candies
Theoretical Data CHART 2 Percent Decimal Total Candies in Package Amount of Colored Candies Yellow 14% Red 13% Green 16% Blue 24% Orange 20% Brown

Step 5 Since your sample size is small, combine class data to examine a larger sample size. Combined Class Data CHART 3 Yellow Red Green Blue Orange Brown Color Totals Total Color %

Step 6- Small Group Practice (QUIZ GRADE)
A) How do you find the theoretical probability of picking a yellow candy? B) How do you find the experimental probability of picking a yellow candy? C) Will these probabilities always be the same? Different? Neither? A) How do you find the theoretical probability of not picking a yellow candy? B) How do you find the experimental probability of not picking a yellow candy? Create a Venn Diagram to compare and contrast the similarities and differences between theoretical and experimental probability. You must have at least one item in every section of your Venn Diagram. A) Compare the whole class color percentages as they relate to the theoretical probability given by the M&M company B) Are the whole class color percentages closer to the theoretical probability than your individual color percentages?

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