SOLUTION: Virgil has a bag of Skittles. He randomly selected a piece of candy recorded the color and then put it back in the bag. He did this ten times and recorded the results below.
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-> SOLUTION: Virgil has a bag of Skittles. He randomly selected a piece of candy recorded the color and then put it back in the bag. He did this ten times and recorded the results below.
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Question 1200079: Virgil has a bag of Skittles. He randomly selected a piece of candy recorded the color and then put it back in the bag. He did this ten times and recorded the results below.
Experiment
Trial Number 1 2 3 4 5 6 7 8 9 10
Outcome red yellow purple purple green yellow orange red purple blue
Color and Number of Candies
Then he poured all of the candies out and recorded the number of each colored candy.
Color Green Yellow Orange Red Blue Purple Total
Number of Candies 16 7 9 15 5 11
Answer
63
Enter the total in the box.
Probability of Next Candy
Fill in the chart below with the probability of choosing the next candy.
Event Write the probability using symbols. Experimental Probability
(Enter as a reduced fraction.) Theoretical Probability
(Enter as a reduced fraction.)
What is the probability of choosing a red Skittle? P(R)=
15
Answer
What is the probability of choosing an orange Skittle? Answer
P(O)
= Answer
17
What is the probability of choosing a purple Skittle? P(P)=
Answer
Answer
What is the probability of choosing a Skittle that is green? Answer
P(G)
= 110
Answer
You can put this solution on YOUR website! Certainly, let's analyze the Skittles experiment.
**Total Number of Candies**
* The total number of candies is **63**.
**Probability of Choosing Next Candy**
| Event | Write the probability using symbols | Experimental Probability | Theoretical Probability |
|---|---|---|---|
| What is the probability of choosing a red Skittle? | P(R) | 2/10 = 1/5 | 15/63 = 5/21 |
| What is the probability of choosing an orange Skittle? | P(O) | 1/10 | 9/63 = 3/21 = 1/7 |
| What is the probability of choosing a purple Skittle? | P(P) | 3/10 | 11/63 |
| What is the probability of choosing a Skittle that is green? | P(G) | 1/10 | 16/63 |
**Explanation**
* **Experimental Probability:**
* Based on the 10 trials, we calculate the frequency of each color and divide it by the total number of trials (10).
* **Theoretical Probability:**
* We calculate the probability of each color by dividing the number of candies of that color by the total number of candies (63).
Let me know if you have any other questions or would like to explore further!
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