To determine the probability that the next chew Hannah removes from the bag will be a flavor other than peach, we first need to calculate the total number of selections and then determine how many selections were not peach chews.

Step 1: Calculate the total number of trials

Hannah performed the experiment 20 times, so the total number of selections is:

$\text{Total selections} = 20$

Step 2: Calculate the number of times a peach chew was selected

Hannah selected a peach chew 8 times. To find the number of times she selected a chew that was not peach, we subtract the number of peach chews from the total:

$\text{Not peach selections} = 20 - 8 = 12$

Step 3: Calculate the probability of selecting a chew that is not peach

The probability of selecting a chew that is not peach is the ratio of the number of non-peach selections to the total number of selections:

$P(\text{Not peach}) = \frac{12}{20} = 0.6$

Step 4: Convert the probability to a percentage

To express the probability as a percentage, we multiply by 100:

$P(\text{Not peach}) \times 100 = 0.6 \times 100 = 60\%$

Final Answer:

The probability that the next chew will be a flavor other than peach is 60%.

Would you like further details or have any questions? Here are some related questions you can explore:

1. How would the probability change if the experiment had been performed 50 times?
2. If Hannah had selected pineapple chews 10 times, what would the probability of a non-peach chew be?
3. How does the number of trials affect the accuracy of the probability?
4. If the selection probabilities were different for each flavor, how could we calculate the expected number of selections for each flavor?
5. How can we use the experimental probability to estimate theoretical probabilities?

Tip: Probabilities are always based on relative frequencies when dealing with experiments, so increasing the number of trials typically gives a more accurate estimate of the actual probability.