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Answer :
To match each probability to its description, let's break it down step-by-step using the given probabilities and their common descriptions:
1. Determine the Numbers and Their Descriptions:
- Probability 1: [tex]\(\frac{9}{60}\)[/tex]
Calculate this probability as a fraction: [tex]\(\frac{9}{60} = 0.15\)[/tex].
Description: 0.15 is pretty low, so this is considered "unlikely."
- Probability 2: [tex]\(\frac{22}{40}\)[/tex]
Calculate this probability as a fraction: [tex]\(\frac{22}{40} = 0.55\)[/tex].
Description: This is close to 0.5, making it "about as likely as not." It’s slightly more than 0.5, which means it is more likely to happen than not.
- Probability 3: [tex]\(\frac{18}{18}\)[/tex]
Calculate this probability as a fraction: [tex]\(\frac{18}{18} = 1.0\)[/tex].
Description: A probability of 1.0 means it is "certain" to happen.
- Probability 4: [tex]\(\frac{27}{30}\)[/tex]
Calculate this probability as a fraction: [tex]\(\frac{27}{30} = 0.9\)[/tex].
Description: This is a high probability, meaning it is very likely to happen, but not "certain." It's indeed closer to "certain" than "about as likely as not."
2. Match Descriptions:
- [tex]\(\frac{9}{60}\)[/tex] matches "unlikely."
- [tex]\(\frac{22}{40}\)[/tex] matches "about as likely as not."
- [tex]\(\frac{18}{18}\)[/tex] matches "certain."
- [tex]\(\frac{27}{30}\)[/tex] matches a high level of likelihood but is interpreted here as being very likely, approaching certain.
In summary, the descriptions matched to each probability are:
- [tex]\(\frac{9}{60}\)[/tex]: unlikely
- [tex]\(\frac{22}{40}\)[/tex]: about as likely as not
- [tex]\(\frac{18}{18}\)[/tex]: certain
- [tex]\(\frac{27}{30}\)[/tex]: best described as very likely, similar to certain
These explanations show how different probabilities can be interpreted using common terms.
1. Determine the Numbers and Their Descriptions:
- Probability 1: [tex]\(\frac{9}{60}\)[/tex]
Calculate this probability as a fraction: [tex]\(\frac{9}{60} = 0.15\)[/tex].
Description: 0.15 is pretty low, so this is considered "unlikely."
- Probability 2: [tex]\(\frac{22}{40}\)[/tex]
Calculate this probability as a fraction: [tex]\(\frac{22}{40} = 0.55\)[/tex].
Description: This is close to 0.5, making it "about as likely as not." It’s slightly more than 0.5, which means it is more likely to happen than not.
- Probability 3: [tex]\(\frac{18}{18}\)[/tex]
Calculate this probability as a fraction: [tex]\(\frac{18}{18} = 1.0\)[/tex].
Description: A probability of 1.0 means it is "certain" to happen.
- Probability 4: [tex]\(\frac{27}{30}\)[/tex]
Calculate this probability as a fraction: [tex]\(\frac{27}{30} = 0.9\)[/tex].
Description: This is a high probability, meaning it is very likely to happen, but not "certain." It's indeed closer to "certain" than "about as likely as not."
2. Match Descriptions:
- [tex]\(\frac{9}{60}\)[/tex] matches "unlikely."
- [tex]\(\frac{22}{40}\)[/tex] matches "about as likely as not."
- [tex]\(\frac{18}{18}\)[/tex] matches "certain."
- [tex]\(\frac{27}{30}\)[/tex] matches a high level of likelihood but is interpreted here as being very likely, approaching certain.
In summary, the descriptions matched to each probability are:
- [tex]\(\frac{9}{60}\)[/tex]: unlikely
- [tex]\(\frac{22}{40}\)[/tex]: about as likely as not
- [tex]\(\frac{18}{18}\)[/tex]: certain
- [tex]\(\frac{27}{30}\)[/tex]: best described as very likely, similar to certain
These explanations show how different probabilities can be interpreted using common terms.
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