Skittle Investigation NAME:________________________



NAME:________________________

Investigation: Skittles!!!

Part 1

The Skittles website states the company makes an equal amount of each flavor. They mix up the candy (Red, Orange, Green, Yellow, and Purple) and then bag it.

1. What is the experimental probability of picking each color from the combined skittles?

|Color |Number of Skittles |Your Experimental Probability |Number of Class Skittles |Class Experimental Probability |

|Red | | | | |

|Orange | | | | |

|Green | | | | |

|Purple | | | | |

|Yellow | | | | |

|Total Skittles | | | | |

2. Using your (experimental probability) answer the following questions.

a. What is the probability of picking a red skittle?

b. What is the probability of picking a yellow, orange, or purple skittle?

3. Using the class (experimental probability) answer the following questions.

a. What is the probability of picking a red skittle?

b. What is the probability of picking a yellow, orange, or purple skittle?

Part 2 –Tree Diagrams

Eat the Red and Orange Skittles. Now you are only left with Green, Purple and Yellow Skittles.

1. Draw a tree diagram with the class percentages of grabbing two skittles with replacement (meaning we put the skittle back without eating it). Are these events independent or dependent?

2. Probabilities are always decimals, fractions, or percents that are between 0 and 1.

a. When you add two probabilities together the answer becomes ________(greater/less).

b. When you multiply two probabilities together the answer becomes_____(greater/less).

c. According to the tree diagram, how many different ways are there to pick 1 skittle? How many ways are there to pick 2 skittles?

d. What is the probability of picking 1 green skittle?

e. What is the probability of picking 2 green skittles? Should this probability be greater or less than the probability of picking 1 green skittle?

f. What is the probability of picking a green and then a purple? A purple then a green?

g. In general, when finding the probability of compound events (2 events or more), you __________ (add/multiply) the probability of each event.

h. What is the probability of picking a green and a purple in any order?

3. Draw a tree diagram with the percentages of grabbing two skittles without replacement (meaning eat the skittle, then take another). Are these events independent or dependent?

4.

a. What is the probability of picking 2 green skittles without replacement?

b. What is the probability of picking a green and then a purple skittle with replacement?

P(Green and then Purple, with replacement) =

c. What is the probability of picking a yellow and then a yellow skittle without replacement?

P(Yellow and then Yellow, without replacement) =

d. P(Green and then green)

e. P(yellow and then purple)

f. P(purple and then yellow)

g. P(purple and yellow)

h. P(at least one yellow)

i. P(no yellow)

Part 3 Eat the rest of the skittles. Using the probabilities from the class in the beginning, answer the following. Suppose you chose 3 skittles.

a. P( Red three times in a row with replacement) =

b. P( Red three times in a row without replacement)=

c. P(one red, one yellow, then one purple with replacement) =

d. P(one red, one yellow, one purple in any order without replacement)=

e. P(at least two red without replacement)=

Part 4 Try some problems that don’t have to do with skittles.

Mr. Roark teaches three classes. Each class has 20 students. His first class has 12 sophomores, his second class has 8 sophomores, and his third class has 10 sophomores. If he randomly chooses one student from each class to participate in a competition, what is the probability that he will select three sophomores?

a. Draw a tree diagram.

b. P(3 sophomores)

c. What is the probability that he would select only 1 sophomore?

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