Answer :
Sure! Let's match each fraction to its probability description step-by-step.
### Given Probabilities:
1. [tex]\(\frac{9}{60}\)[/tex]
2. [tex]\(\frac{22}{40}\)[/tex]
3. [tex]\(\frac{18}{18}\)[/tex]
4. [tex]\(\frac{27}{30}\)[/tex]
### Probability Descriptions:
- Certain
- Likely
- About as likely as not
- Unlikely
### Steps to Match:
1. Certain (Probability = 1.0):
- A probability of 1 means an event is certain to happen. Among our fractions, [tex]\(\frac{18}{18}\)[/tex] equals 1, which indicates certainty.
2. Likely (Probability close to 1):
- A "likely" event has a high probability, typically closer to 1. Looking at our options, [tex]\(\frac{27}{30}\)[/tex] has a probability of 0.9, which is close to 1, making it a likely event.
3. About as likely as not (Probability around 0.5):
- This description matches a probability around 0.5. Here, [tex]\(\frac{22}{40}\)[/tex] simplifies to a probability of 0.55, which is around 0.5, suitable for "about as likely as not."
4. Unlikely (Probability close to 0):
- An unlikely event has a low probability, near zero. The fraction [tex]\(\frac{9}{60}\)[/tex] corresponds to a probability of 0.15, indicating an unlikely event.
### Final Matches:
- [tex]\(\frac{9}{60}\)[/tex]: Unlikely (0.15)
- [tex]\(\frac{22}{40}\)[/tex]: About as likely as not (0.55)
- [tex]\(\frac{18}{18}\)[/tex]: Certain (1.0)
- [tex]\(\frac{27}{30}\)[/tex]: Likely (0.9)
I hope this explanation helps you understand how each probability is matched with its description!
### Given Probabilities:
1. [tex]\(\frac{9}{60}\)[/tex]
2. [tex]\(\frac{22}{40}\)[/tex]
3. [tex]\(\frac{18}{18}\)[/tex]
4. [tex]\(\frac{27}{30}\)[/tex]
### Probability Descriptions:
- Certain
- Likely
- About as likely as not
- Unlikely
### Steps to Match:
1. Certain (Probability = 1.0):
- A probability of 1 means an event is certain to happen. Among our fractions, [tex]\(\frac{18}{18}\)[/tex] equals 1, which indicates certainty.
2. Likely (Probability close to 1):
- A "likely" event has a high probability, typically closer to 1. Looking at our options, [tex]\(\frac{27}{30}\)[/tex] has a probability of 0.9, which is close to 1, making it a likely event.
3. About as likely as not (Probability around 0.5):
- This description matches a probability around 0.5. Here, [tex]\(\frac{22}{40}\)[/tex] simplifies to a probability of 0.55, which is around 0.5, suitable for "about as likely as not."
4. Unlikely (Probability close to 0):
- An unlikely event has a low probability, near zero. The fraction [tex]\(\frac{9}{60}\)[/tex] corresponds to a probability of 0.15, indicating an unlikely event.
### Final Matches:
- [tex]\(\frac{9}{60}\)[/tex]: Unlikely (0.15)
- [tex]\(\frac{22}{40}\)[/tex]: About as likely as not (0.55)
- [tex]\(\frac{18}{18}\)[/tex]: Certain (1.0)
- [tex]\(\frac{27}{30}\)[/tex]: Likely (0.9)
I hope this explanation helps you understand how each probability is matched with its description!
