To determine which term best describes the given probability of choosing a green grape, we need to understand the range of values that each term generally corresponds to:
1. Impossible - Indicates that an event cannot happen. The probability is [tex]\(0\)[/tex].
2. Unlikely - Indicates that an event is not probable but not impossible. The probability is closer to [tex]\(0\)[/tex] but greater than [tex]\(0\)[/tex], typically ranging from [tex]\(0.01\)[/tex] to [tex]\(0.49\)[/tex].
3. Likely - Indicates that an event is probable. The probability is closer to [tex]\(1\)[/tex] but less than [tex]\(1\)[/tex], typically ranging from [tex]\(0.51\)[/tex] to [tex]\(0.99\)[/tex].
4. Certain - Indicates that an event will definitely happen. The probability is [tex]\(1\)[/tex].
Given the probability of choosing a green grape is [tex]\(\frac{11}{15}\)[/tex]:
1. First, convert the fraction to a decimal:
[tex]\[
\frac{11}{15} \approx 0.7333
\][/tex]
2. Compare this decimal value to the ranges for each descriptive term:
- [tex]\(0.7333\)[/tex] is definitely greater than [tex]\(0.51\)[/tex] but less than [tex]\(1\)[/tex].
- This value falls into the "likely" category, as it is much closer to [tex]\(1\)[/tex] than to [tex]\(0\)[/tex].
Thus, the term that best describes this probability is likely.
