Final Answer:
1. The probability of randomly selecting a green Starburst candy from the average bag of 47 pieces is approximately 1/47.
2. The probability remains the same for a brand new bag, assuming the distribution of colors is consistent.
Step-by-step explanation:
In a bag of 47 Starburst candies, each candy has an equal chance of being selected. Since there is only one green candy, the probability of picking green is 1 out of the total number of candies, which is 47. Therefore, the probability is 1/47 for both scenarios.
Probability is calculated by dividing the number of favorable outcomes (in this case, selecting a green candy) by the total number of possible outcomes. In a new bag, even though the candies are freshly packed, the probability doesn't change because the assumption is that the distribution of colors is consistent from bag to bag. This means that each candy in the new bag still has the same probability of being green, 1/47.
It's important to note that this explanation assumes that the distribution of colors in each bag is uniform and that the candies are well mixed, ensuring a random selection. If the distribution is not uniform, the probabilities would need to be adjusted accordingly.