To determine the best term to describe the probability of selecting a rotten apple from the bag, we start by noting that the given probability is [tex]\(\frac{4}{5}\)[/tex].
First, let's convert this fraction into a decimal to make it easier to compare with common probability terms. The fraction [tex]\(\frac{4}{5}\)[/tex] can be converted to a decimal by performing the division:
[tex]\[
\frac{4}{5} = 0.8
\][/tex]
Next, we'll match this probability to the appropriate descriptive term. Here are the standard probability descriptions we use:
1. Impossible: This term is used when the probability is [tex]\(0\)[/tex] (meaning it will never happen).
2. Unlikely: This term is used when the probability is between [tex]\(0\)[/tex] and [tex]\(0.5\)[/tex] (meaning it is not expected to happen).
3. Likely: This term is used when the probability is between [tex]\(0.5\)[/tex] and [tex]\(1\)[/tex] (meaning it has a good chance of happening).
4. Certain: This term is used when the probability is [tex]\(1\)[/tex] (meaning it will definitely happen).
Given that the probability [tex]\(0.8\)[/tex] falls between [tex]\(0.5\)[/tex] and [tex]\(1\)[/tex], the probability of selecting a rotten apple is best described by the term "likely."
Thus, the term that best describes the probability of choosing a rotten apple from the bag is:
[tex]\[
\text{likely}
\][/tex]
So, the final answer is:
The probability of choosing a rotten apple from the bag of apples is 0.8, which is best described as 'likely.'
